Keisha is solving the equation 7^x=9.
Write an equation that shows the first step she should take.
(logarithms)

Answers

Answer 1
[tex]\bf \textit{Logarithm of exponentials}\\\\ log_a\left( x^ b \right)\implies b\cdot log_a(x)\\\\ -------------------------------\\\\ 7^x=9\implies \boxed{log(7^x)=log(9)}\implies x\cdot log(7)=log(9) \\\\\\ x=\cfrac{log(9)}{log(7)}[/tex]

Related Questions

Yesterday , the snow was 2 feet deep in front of archies house. Today, the snow depth dropped to 1.6 feet because the day is so warm.What is the percent change in the depth of the snow?

Answers

earlier snow depth = 2 feet
later snow depth = 1.6 feet

change 
2 - 1.6
0.4 feet

percentage change
(0.4 / 2) * 100
20 %
80% is still left, therefor the percent change is 20%

7x(x+4)

A. 7x^2+4
B. 7x^2+28x
C.8x+4
D.8x+11

Answers

Use distributive property:

a(b + c) = ab + ac.

7x(x + 4) = (7x)(x) + (7x)(4) = 7x² + 28x

Answer: B. 7x^2 + 28x

Many 1/2 inch cubes can fit into a box that is 15 inches tall, 1 1/2 inches wide, and 3 inches long?

Answers

The answer is 20, I hope this helps!

What exponential function is the best fit for the data in the table?

x f(x)
2 -3
3 0
4 12




A. f(x) = 4(4)^x - 1 + 4

B. f(x) =4(4)^ x - 1 - 4

C. f(x) = 1/4(4)^x -1 + 4

D. f(x) = 1/4(4)^ x - 1 - 4

Answers

Answer: The correct answer is choice D.

There are multiple ways to get to the right answer. You could plot the points on a graphing calculator. Then, graph each function to determine which equation matches the points.

You could also input the x values and see which equation produces the y values in the chart. 

On thing to notice is the we have negative output values, there we need to pick either B or D, so the values go beneath the x-axis.

Answer:

option D.

Step-by-step explanation:

Data given in the table is

x           2         3          4

f(x)       -3        0          12

Now we will plug in the values of x in the given functions to find the correct exponential function.

For x =2

A). f(x) = 4(4)[tex]^{(x-1)}[/tex] + 4

     f(2) = 4(4)[tex]^{2-1}[/tex] + 4 = 4 × 4 + 4 = 20

B). f(x) = 4(4)[tex]^{(2-1)}[/tex] - 4

    f(2) = 4(4)[tex]^{2-1}[/tex] - 4 = (4)(4) - 4 = 16 - 4 = 12

C).  f(x) = 1/4(4)[tex]^{x-1}[/tex] +4

      1/4(4)[tex]^{2-1}[/tex] + 4 = [tex]\frac{1}{4}[/tex] × 4 + 4

     = 1 + 4 = 5

D). f(x) = [tex]\frac{1}{4}(4)^{x-1}-4[/tex]

     f(2) = [tex]\frac{1}{4} (4)^{2-1}-4=\frac{1}{4}(4)-4[/tex]

      = 1 - 4 = -3

We find option D in which f(2) = (-3). so the answer would be option D.

please help me thank you.

Answers

∠AOC is a "central angle".

_____
Any angle with sides that are radii and a vertex at the center of the circle is a central angle.

Choose the BEST answer.
1. What is a Web page? (1 point)
A single page of a Web site that consists of an HTML document
The entry page of the Web site
Web page that is located in the same group of Web pages or Web Site as th
document
2. What is a home page? (1 point)
A single page of a Web site that consists of an HTML document
The entry page of the Web site
Web page that is located in the same group of Web pages or Web Site as th
document
3. What is the object of storyboarding? (1 point)
To help you visualize your Web site before writing any pages in HTML. To help prevent duplicati

Answers

1. A web page is a single page of a Web site that consists of an HTML document
 2. A home page is the entry page of the Web site
 3.The object of storyboarding is to help you visualize your Web site before writing any pages in HTML.

Answer:

1)

A single page of a Web site that consists of an HTML document.

2)

The entry page of the Web site.

3)

The object of storyboarding is to help you visualize your Web site before writing any pages in HTML.

Step-by-step explanation:

Web page:

A web page or webpage is a document commonly written in HTML (Hypertext Markup Language) that is accessible through the Internet or other networks using an Internet browser.

Hence, option: A is true.

Home page:

A home page also refers to the first page that appears upon opening a web browser, sometimes called the start page.

Hence, option: B is correct.

( The entry page of the Web site )

object of storyboarding:

The object of storyboarding is to help you visualize your Web site before writing any pages in HTML

A person at ground level measures the angle of elevation to the top of a building to be 74degrees if at this point the person is 34 feet away from the base of the building, then how tall is the building round to the nearest tenth.

Show work

Will give brainliest to best answer

Answers

see the attached figure 

Let
h---------> building tall

we know that
tan 74°=h/34---------> h=34*tan 74°--------> 34*3.487------> 118.57 
h=118.6 ft

the answer is h=118.6 ft

A tent forms an equilateral triangular prism, with both triangular faces exposed. each side of the triangular face has a length of 196196196 centimeters (\text{cm})(cm)left parenthesis, c, m, right parenthesis, and the tent is 250\,\text{cm}250cm250, space, c, m long. what is the height, in centimeters, of the tent?

Answers

Given:
Equilateral Triangular Prism
Each side of the triangular face has a length of 196cm
The tent is 250cm long

I have attached an image of the tent. Since the height of the tent is also the height of the triangle, I will solve for the height of the triangle using Pythagorean theorem.

I divided the equilateral triangle into 2 right triangle. The height then becomes the long leg of the triangle. The hypotenuse is 196cm and the short leg is 98cm, half of one side of the triangle.

a² + b² = c²
a² = c² - b²
a² = (196cm)² - (98cm)²
a² = 38,416cm² - 9,604cm²
a² = 28,812cm²
a = √28,812cm² 
a = 169.74cm

The height of the tent is 169.74 centimeters. 

how many fluid ounces are in 3 quarts and 2 cups ?

Answers

15 fluid ounces.
1quart= 4 cups

First, convert it all down to cups. Since there are 4 cups in a quart, we have 14 cups total. Then, there are 8 fluid ounces in one cup. Multiply 14 by 8, and we have the answer 112 fluid ounces!
I hope this helped you.

Which of the following statements describes a correct method for solving the equation below?
3x + 3 = 6x

A. Subtract 3x from both sides of the equation, and then divide both sides by 3.
B. Add 3x to both sides of the equation, and then divide both sides by 3.

C. Divide both sides of the equation by 6, and then subtract 3 from both sides.

D. Divide both sides of the equation by 6, and then add 3 to both sides.

Answers

Selection A works best.

_____
The other choices get you to a place where further work is necessary. They don't really contribute to solving the equation.
A) is the correct answer. 

3x + 3 = 6x
3x-3x + 3 = 6x - 3x
(3x -3x cancel each other out, leaving you with 3)
3 = 3x
3/3 = 3x/3
1 = x
x = 1

Now Verify- 
3x + 3 = 6x
3(1) + 3 = 6(1)
3 +3 = 6
6 = 6

Now can also use the guess and check way. But this is my way of solving it. I hope it helped.

In parallelogram DEFG, DH = x + 3, HF = 3y, GH = 3x – 3, and HE = 5y + 4. Find the values of x and y.
x = 5, y = 12
x = 5, y = 9
x = 4, y = 9
x = 9, y = 4

Answers

We have that in this case the following equalities are met:
 DH = HF
 x + 3 = 3y
 GH = HE
 3x - 3 = 5y + 4
 We then have the following system of equations:
 x-3y = -3
 3x-5y = 7
 Resolving the system graphically we obtain the following values:
 x = 9
 y = 4
 Note: see attached image.
 Answer:
 
The values of x and y are:
 
x = 9, y = 4

Final answer:

In parallelogram DEFG, DH = x + 3, HF = 3y, GH = 3x – 3, and HE = 5y + 4. Solving the equations yields x = 9, y = 4.

Explanation:

To find the values of x and y in parallelogram DEFG, we'll use the properties of parallelograms. In a parallelogram, opposite sides are equal in length.

Given that DH = x + 3 and HF = 3y, and that DH is opposite to HF, we have:

x + 3 = 3y   ...(1)

Similarly, given GH = 3x - 3 and HE = 5y + 4, and that GH is opposite to HE, we have:

3x - 3 = 5y + 4   ...(2)

Now, we have a system of two equations (1) and (2) to solve for x and y.

From equation (1):

x = 3y - 3   ...(3)

Substitute equation (3) into equation (2):

3(3y - 3) - 3 = 5y + 4

9y - 9 - 3 = 5y + 4

9y - 12 = 5y + 4

4y = 16

y = 4

Now, substitute the value of y into equation (3):

x = 3(4) - 3

x = 12 - 3

x = 9

So, the values of x and y are x = 9 and y = 4. Thus, the correct answer is x = 9, y = 4.

Medals and Fan!

Given a segment with endpoints A and B, what figure can you construct using the steps below?
Step 1: Draw a ray with endpoint C.
Step 2. Open the compass to the length of AB
Step 3: With the same compass setting, put the compass point on point C. Draw and arc that intersects the ray. Label the point of intersection D.

A. A perpendicular Bisector
B. A congruent segment
C. an angle bisector
D. a congruent angle,

Answers

The answer here is B , congruent segment. Because by opening the compass to the length of AB you are setting the radius of the circle the compass could create to the same length of AB then by intersecting with the ray C, you have copied the length of AB to ray C. For that reason, CD and AB will be congruent.

Can someone please help me.

The polygons are similar. Write a similarity statement and give the scale factor

Answers

the scale factor is
[tex] \frac{4}{3} [/tex]
all you need to so is take one of the sides from the larger figure and divide it by the corresponding side on the smaller figure for example
[tex] \frac{24}{13} [/tex]
which simplifys to your answer
[tex] \frac{4}{3} [/tex]

This figure shows circle O with inscribed ∠XYZ. m∠XYZ=76∘ What is the measure of XYZ?

Answers

check the picture below.

now, the inscribed angle is at ∡XYZ and is 76°, that means by the "inscribed angle theorem", the intercepted arcXZ, in red, is twice as much, namely 152°.

keeping in mind that a circle has a total of 360°, and since the red arc has already taken up 152°, the arcXYZ in blue, will pick up the slack from 360° - 152°, namely 208°.

which reason justifies the last step in a proof that ΔEDG≌ΔADC?

Answers

it is side angle side postulate 
fd is congruet to db
ed is congruent to da
and vertical angles theorem

You bought a coat at $78.50 and two shirts at $21.99 each. if the sales tax rate is 7%, how much is the total purchase?

Answers

7% of the coat is $5.49. 7% of the shirts is $1.54 each. adding up the taxes ($8.57) with the base total ($122.50) would add up to $131.07

Answer:

The answer is going to be $131.05

Step-by-step explanation:

I just took the test

How many numbers less than 1000 are divisible by 7?

Answers

==> The number of positive integers divisible by 7 but not by 11 is 142 - 12 = 130. ==>the number of positive integers less than 1000 that are divisible by either 7 or 11is 142 + 90 - 12 = 220. ==>the number of positive integers less than 1000 that are divisible by exactly by one of 7 and 11 is 220 - 12 = 208.

Please helplpppp solve each equation 9.4k + 3.5 + 4.8k =46.2

Answers

9.4k+4.8k+3.5=46.2
we subtract 3.5 from both sides
14.20 k=42.70 divide both sides by 14.20
k=3.007

A blueprint for a house has a scale of 1:10. A wall in the blueprint is 8in. What is the length of the actual wall?
A) 6.67 inches
B) 80 feet
C) 960 feet
D) 6.67 feet

Answers

B 80 Feet, 8 x 10 would be 80, therefore 80 feet . 

Answer:

the length of the actual wall= 80 feet

Step-by-step explanation:

A blueprint for a house has a scale of 1:10. A wall in the blueprint is 8in.

Blueprint has a scale ratio of [tex]\frac{1}{10}[/tex]

As per the scale, the wall in the blue print is 1 in then the length of the actual wall is 10 feet

A wall in the blueprint is 8 inches, the length of the actual wall is [tex]10*8= 80[/tex] feet

the length of the actual wall= 80 feet

Find the inverse of the following function. f(x) 8√ x for x > 0


Answers

The inverse of the function f(x) = 8√x for x > 0 is g(x) = x^2/64.

To find the inverse of the function f(x) = 8√x for x > 0, we need to interchange the roles of x and y and solve for y.

Let's start by rewriting the function using y instead of f(x):

y = 8√x

Next, we'll swap x and y:

x = 8√y

To isolate y, we can square both sides:

[tex]x^2 = (8\sqrt y)^2\\\\x^2 = 64y[/tex]

Now, divide both sides by 64:

[tex]x^2/64 = y[/tex]

Simplifying further:

[tex]y = x^2/64[/tex]

Therefore, the inverse of the function f(x) = 8√x for x > 0 is given by [tex]g(x) = x^2/64.[/tex]

To know more about inverse, refer here:

https://brainly.com/question/28595565

#SPJ6

Jennifer is 30 years old. She has $1200 in a checking account, $8000 in a savings account, $6000 in stock investments, $12,000 in a retirement account, and owns a car worth $8000. What is the total value of her liquid assets?

A. $20,000
B. $15,200
C. $23,200
D $25,200

APEX

Answers

Answer:

B.15,200

Step-by-step explanation:


A trapezoid has an area of 150 square meters. If the bases are 14 meters and 16 meters, what us the height of the trapezoid?

Answers

To find the area of a trapezoid, we use the following formula:
[tex]a = \frac{1}{2} (b1 + b2) \times h[/tex]
In this formula a represents the area and b1 and b2 each represent a base of the trapezoid.

So, we have got the following information
[tex]a = 150[/tex]
[tex]b1 = 14[/tex]
[tex]b2 = 16[/tex]

Filling in the formula gives us:
[tex]150 = \frac{{1} }{2} \times (14 + 16) \times h[/tex]
[tex]150 = \frac{1}{2} \times 30 \times h[/tex]
[tex]150 = 15 \times h[/tex]
Finally we have to divide both sides by 15.
[tex]h = 150 \div 15 = 10[/tex]
Therefore, the height of the trapezoid is 10 meters.

PLEASE HELP! ^^
A 300-page book is 10 inches long, 8 inches wide, and 3/4 inches tall. What is the volume of 100 pages of the book?

A. 20 in^3
B. 60 in^3
C. 188 in^3
D. 6,000 in^3

I think it's 600 and I think they made a typo but, help please.,

Answers

The volume of 100 pages of the book is 20 in³.

Explanation:
Since the book is rectangular, we use the formula for the volume of a rectangular prism: V = l*w*h.

Using the measurements of the book we have
V = 10*8*(3/4) = 80*(3/4) = 240/4 = 60 in³.

However, 100 out of 300 pages means we want 100/300 = 1/3 of the book: 60(1/3) = 60/3 = 20 in³.

Answer:

A. [tex]20\text{ in}^3[/tex]

Step-by-step explanation:

We have been given that a 300-page book is 10 inches long, 8 inches wide, and 3/4 inches tall. We are asked to find the volume of 100 pages of the book.

First of all, we will find the volume of whole book using volume of cuboid formula.

[tex]\text{Volume of cuboid}=l\cdot w\cdot h[/tex], where,

l = Length of cuboid,

w = Width of cuboid,

h = Height of cuboid.

Upon substituting our given values in volume formula we will get,

[tex]\text{Volume of entire book}=10\text{ in}\times 8\text{ in}\times \frac{3}{4}\text{ in}[/tex]

[tex]\text{Volume of entire book}=10\text{ in}\times 2\text{ in}\times 3\text{ in}[/tex]

[tex]\text{Volume of entire book}=60\text{ in}^3[/tex]

Since there are 300 pages in entire book and 100 is 1/3 of 300, so the volume of 100 pages will be the 1/3 of the volume of entire book.

[tex]\text{Volume of 100 pages}=\frac{60\text{ in}^3}{3}[/tex]

[tex]\text{Volume of 100 pages}=20\text{ in}^3[/tex]

Therefore, the volume of 100 pages will be 20 cubic inches and option A is the correct choice.

I'll give you brainliest answer!! Help me. This diagram shows a smaller square inscribed within a larger square.
Answer with supporting work:

Answers

Each side of the smaller square is the hypotenuse of the triangles with legs of 3 and 4.  From the Pythagorean Theorem, we can calculate the hypotenuse:
hypotenuse^2 = 3^2 + 4^2
hypotenuse^2 = 9 + 16
hypotenuse^2 = 25
hypotenuse = 5
Therefore, the area of the smaller square is 5 * 5 = 25

The answer would be 256 as the area because roughly the 4 closes in onto the smaller square which makes it 4 x 4 so what I would do is go first 4 x4 which equals 16 and then do it over 4 x 4 equals 16 once again so 16 x 16 equals 256 your welcome!!!!! :)

Find the least common multiple of x² + x – 12 and x² + 2x – 15.

Answers

Solution:

we have been asked to find the Least Common multiple of the given polynomial x² + x – 12 and x² + 2x – 15.

To find the least common multiple. Lets first find the factors.

[tex] x^2+x-12=x^2+4x-3x-12\\
\\
x^2+x-12=x(x+4)-3(x+4)\\
\\
x^2+x-12=(x+4)(x-3)\\ [/tex]

[tex] x^2+2x-15=x^2+5x-3x-15\\
\\
x^2+2x-15=x(x+5)-3(x+5)\\
\\
x^2+2x-15=(x+5)(x-3)\\ [/tex]

Hence the LCM of the given set of Polynomials is (x+4)(x-3)(x+5).

The LCM is (x+4)*(x-3)*(x+5)

Troy’s canoe is 18 feet long. Ariel’s canoe is 5/6 the length of Troy’s canoe.

What is the length of Ariel’s canoe?
Express your answer in simplest form

Answers

18 * 5 = 90
90/6 = 15
 it is 15 feet

help, please simplify.. thank you

Answers

[tex]\bf \cfrac{3.7\times 10^{-12}(42)}{(.000000025)(4.0\times 10^{-15})}\implies \cfrac{37\times 10^{-13}(42)}{(25\times 10^9)(4\times 10^{-15})}[/tex]

[tex]\bf \cfrac{37(42)\times 10^{-13}}{25(4)\times 10^910^{-15}}\implies \cfrac{1554\times 10^{-13}}{100\times 10^{9-15}}\implies \cfrac{1554\times 10^{-13}}{1\times 10^2\times 10^{9-15}} \\\\\\ \cfrac{1554\times 10^{-13}}{10^{2+9-15}}\implies \cfrac{1554\times 10^{-13}}{10^{-4}}\implies 1554\times 10^{-13}\times 10^4 \\\\\\ 1554\times 10^{-13+4}\implies 1554\times 10^{-9}\implies \cfrac{1554}{10^9}\implies 0.000001554[/tex]

A store owner paid $15 for a book she marked up the price of the the book by 40% to determine its selling price part A what is the selling price of the book? Part B a customer buys a different book that has an original selling price of $38 the book is discounted 25% the costumer must pay 6% sales tax on the discounted price of the book .what is the total amount the customer must pay for the discounted book

Answers

A:

40% = 0.4

15*0.4 = 6 

15 + 6 = 21

The marked up price is $21

B:

To find the discounted price:

25% = 0.25

38*0.25 = 9.5

38 - 9.50 = 28.50 

To find the tax and price after tax:

6% = 0.06

28.50*0.06 = 1.71

So tax is $1.71

28.50 + 1.71 = 30.21 

Price after tax is $30.21

Compare the values of the underlined digits.

34,258 and 47,163
- -

The value of 4 in _________ is______ times the value of 4 in ________

PLEASE ANSWER ASAP IT'S FOR MY SISTER

Answers

In the first number, the "4" is in the thousands place - meaning it is 4,000 + 30,258
 In the second number, the "4" is in the ten thousands place - meaning it's
40,000 + 7,163. 
 40,000/4,000 = 10 
 The value of 40,000 in the second value is 10x greater than the value of 4,000 in the first value.

Evaluate the determinant for the following matrix:
                                                                                -4 -4 -3 
                                                                                 3  3 -5 
                                                                                -5  2 -5
 A. –203 B. 75 C. –152 D. –263

Answers

Looks like it is from China, but... I color coded the numbers. Multiply across the dashed lines.

Answer:

The determinant of matrix is -203            

Step-by-step explanation:

Given the matrix of order 3 i.e

[tex]A=\begin{bmatrix}-4&-4&-3\\ 3&3&-5\\ -5&2&-5 \end{bmatrix}[/tex]

we have to find the determinant of matrix A

[tex]|A|=-4(-5(3)-(-5)(2))-3((-4)(-5)-(-3)(2))+(-5)((-5)(-4)-(-3)(3))\\\\|A|=-4(-15+10)-3(20+6)-5(20+9)\\\\|A|=-4(-5)-3(26)-5(29)\\\\|A|=20-78-145\\\\|A|=-203[/tex]

Hence, the determinant of matrix is -203

Option A is correct.

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I think its c, Which statement best expresses how prospero treats Miranda the point (0,0) is a solution to which of these inequalities?a.y+7< 2x + 6b.y- 7< 2x - 6c.y -6< 2x - 7d.y + 7< 2x -6 Which elements of text can be changed using automatic formatting? Check all that apply. smart quotes accidental usage of the Caps Lock key fractions the zoom percentage the addition of special characters 1.An individual who breaks a law that conscience tells him is unjust, and who willingly accepts the penalty of imprisonment in order to arouse the conscience of the community over its injustice, is in reality expressing the highest respect for the law.These words from Martin Luther King, Jr., capture his philosophy of nonviolent civil disobedience. He believed this was the best and only way to achieve the goals of the civil rights movement. Choose an event or incident that occurred between the end of World War II and the passage of the Civil Rights Act of 1964 that exemplifies Martin Luther King, Jr.s message. Briefly describe the event, and then explain how the event exemplifies Kings message.Can anyone give me some examples of events between these dates? Thanks! If an object is released in the shaft at the earth's surface, what speed will it have when it reaches the center of the earth? Suppose you buy a CD for $300 that earns 3% APR and is compounded quarterly. The CD matures in 3 years. How much will this CD be worth at maturity? A.$328.14 B.$309.12 C.$309.10 D.$303.01help?, For which pair of function is (g*f)(a)=|a|-21. f(a)=a^2-4 and g(a)= sqaureroot a2. f(a)= 1/2a-1 and g(a)=2a-23. f(a)=5+a^2 and g(a) = sqaureroot (a-5)-24.f(a) =3 -3a and g(a)=4a-5 Describe the process by which coral polyps and algae create a coral reef. Surface processes that work to break down rock are called which of the following?a. erosion b. weatheringc. organic decayd. filtering(the answer is b. weathering) ( i only did this because no one had this question right) If sound travels approximately 1 km in 3 s, and the lightning is striking 10 km from your house, how much time passes between a flash of lightning and the sound of thunder?