What is the inverse of the function below?
F(x)=3^x


A.


B.


C.


D.

Answers

Answer 1

Answer:

[tex]Log_{(3)}X[/tex]

Step-by-step explanation:

[tex]f(x)=3^{X}[/tex]

[tex]y=3^{X}[/tex]

exchange the variables x and y

[tex]X=3^{y}[/tex]

[tex]Log_{(3)}X=Log_{(3)}3^{y}[/tex]

[tex]Log_{(3)}X=y[/tex]

[tex]f^{-1}(x)=Log_{(3)}X[/tex]


Related Questions

so what is the square root of 81

Answers

Answer:

The 2nd root of 81, or 81 radical 2, or the square root of 81 is 9.

HOPE THIS HELPED!!!!!!!!!!!!! XDDDDDDDDD

Express each decimal as a fraction in lowest terms.
0.64

Answers

18/25 since you can just divide 60/100 2 times by 2 both top and bottom to get that by simplifying witch is lowest terms

Answer:

16/25

Step-by-step explanation:

16/25 is equel to 0.64

Have a beatiful day!

Simplify the expression. Write your answer as a complex number.

please help

Answers

The answer is
=15-8i

the number 1 is it's own multiplicative inverse. name another number with this property.

Answers

The number -1 is its own multiplicative inverse, just like the number 1, because multiplying -1 by itself results in 1.

The number 1 is indeed its own multiplicative inverse because when you multiply it by itself, you get 1. The property of a number being its own multiplicative inverse means that the number multiplied by itself equals 1. There is another number with this property, which is -1. When you multiply -1 by itself (-1  x -1), the result is 1. Therefore, -1 is also its own inverse when it comes to multiplication.

This concept is rooted in the properties of identity elements and inverses within the mathematical field of abstract algebra. When considering the set of numbers 1 and -1, they form an abelian group under the operation of multiplication. In this group, every element is its own inverse, and the identity element for multiplication is 1, as any number multiplied by 1 yields the original number.

I need help with number 1

Answers

Answer:

1a. 0< -4 false

1b. -3> or = -7 true

1c. 4<= -1/2 false

Please answer this correctly

Answers

Answer: Steven

Step-by-step explanation: Steven lives further away from the park than anyone else.

Answer:

Steven

Step-by-step explanation:

I am going to use > and < signs to solve the problem.

From the first sentence,

Allie < Steven but Allie > Layla, so

Layla < Allie < Steven

From the second sentence,

Dave < Layla, so

Dave < Layla < Allie < Steven

Steven lives farther from the park

What is 204 divided by 9 in long division

Answers

Answer: the answer is 22 with a remander of 6

Step-by-step explanation:

The answer is 22 r-6

At 7:17AM this morning, it was 83˚F outside. What is 83˚F in Celsius? What is 83˚F in Kelvin?

Answers

Answer: 28.33 Celsius and 301.483 Kelvin

83°F − 32) × 5/9 = 28.333°C

(83°F − 32) × 5/9 + 273.15 = 301.483K

Anna's running time for a race was 23.1 seconds.Another runner's time was 5.86 seconds faster.Find the other Runners time ​

Answers

Answer:

17.24

Step-by-step explanation:

Simple subtraction of decimals because the other runner was faster:

23.10

-5.86

=

17.24

The other Runner's time ​is 17.24 seconds.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given that Anna's running time for a race was 23.1 seconds

And another runner's time was 5.86 seconds faster

It took Anna 23.1 seconds to complete a race.

Since the other runner was quicker,

So we did a simple decimal subtraction,

⇒ 23.10 - 5.86

⇒ 17.24

So, It took other runners 17.24 seconds to complete a race.

Hence, the other Runner's time ​is 17.24 seconds.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

a patio has an area of 9 square yards. What is its area in square inches

Answers

The area in square inches should be 11,664.

Explanation:

1 square yard = 1296 square inches

9x1296=11664 square inches

Hope this helps!

What's the difference between a rational number and an irrational number. Give one example of each.

Answers

Answer: A rational number is any value that can be expressed as a ratio of two integers. An irrational number is any value that cannot be expressed as a ratio of two integers.

Rational 4 and 1/4

Irrational π and √3

If a number can be written in the form of the fraction of p and q then that number is known as the rational number whereas a number is not written in the form of the fraction p and q then that number is known as the irrational number.

Rational Number - If a number can be written in the form of the fraction of p and q then that number is known as the rational number, that is:

[tex]\rm Rational \;Number = \dfrac{p}{q}[/tex]

Where q is the denominator and p is the numerator.

For example -  [tex]\dfrac{4}{3}[/tex] , [tex]\dfrac{1}{4}[/tex] , etc

Irrational Number - If a number is not written in the form of the fraction p and q then that number is known as the irrational number, that is:

[tex]\rm Irrational \;Number \neq \dfrac{p}{q}[/tex]

Where p is the numerator and q is the denominator.

For example - [tex]\pi, \sqrt{3}[/tex], etc

For more information, refer to the link given below:

https://brainly.com/question/23017717

What is the rate of 28/22

Answers

How much is 22 out of 28 written as a percentage? Convert fraction (ratio) 22 / 28 Answer: 78.571428571429%

Hope this helped! Enjoy! :)

There are 15 pieces of fruit in a box . 4 are apples. There are 3 more pears than bananas. How many pears are in the box ?

Answers

There are 7 pears



Cus 15-4=11
Then 11-3 (cus 3 go into the pear pile)
You’re left with 8 divided by 2 is 4 (4 pears and 4 banana)
3 pears + 4 pears is a total of 7 pears!!!
There are 7 pears, your welcome

find the area of of the rectangle with the given base and height.
2ft 4in
ANSWER IN INCHES

Answers

Answer:8in

Step-by-step explanation:

You will multiply 2in•4in=8in

The area of the rectangle would be eight inches

x+y=-9. 5x-2y=32. elimination using manipulation​

Answers

Answer:

x=2, y=11.

Step-by-step explanation:

x + y = -9.  

5x - 2y = 32   Multiply the first equation by 2:

2x + 2y = -18   Adding the last 2 equations to eliminate y:

7x =  14

x = 2,

Substitute x = 2 in the first equation:

2 + y = -9

y = -9 - 2

y = -11.

The elevation of your plot of land is 2 feet below sea level. You add 7 feet of dirt to your land. What is the new elevation of your land?

Answers

Answer: 5

Step-by-step explanation: -2+7=5

when the signs are different you subtract and when the signs are the same you add. Then you keep the sign of the bigger number.

The answer would be nine because you start at 2 and add 7

which of the following is equivalent to the equation 4x+7y=z?

Answers

The equivalent expression is: B. y = ((z + 4x)) / 7

To find an equation equivalent to 4x + 7y = z, we want to isolate one of the variables (either x or y on one side of the equation.

Let's isolate x in terms of y and z:

Starting with 4x + 7y = z, subtract 7y from both sides:

4x = z - 7y

Now, divide both sides by 4 to solve for x:

[tex]\[x = \frac{z - 7y}{4}\][/tex]

Therefore, the correct choice is option B: [tex]\(x = \frac{z - 7y}{4}\)[/tex].

Complete question:

Which of the following is equivalent to the equation 4x+7y=z ?

A. x=4z-28y

B. x= ((z-7y))/4

C. y=7z+28x

D. y= ((z+4x))/7

the blueprint of a conference room is made using a scale of 2 centimeters to 1 meter. if the drawing shows the room is 12 centimeters long,how long is the actual room​

Answers

Answer:

6meters

Step-by-step explanation:

Use simple proportion

2cm = 1m

12cm = ?

(12x1)/2 = 6m

Answer: 6m

Step-by-step explanation:

What is the LCM of 36 and 108?

Answers

Answer:

Answer is 108

Step-by-step explanation:

See answer in above picture or attachment

The least comm multiple for 36 and 108 is 108. This is because 36 is already a multiple of 108 so it will be the least common multiple between both numbers.

Matthew built 30 toys airplanes in 5 hours. What was Matthew’s unit rate for building the airplanes?

Answers

It would be 6 toys per hour due to the fact that 30 toys divided by 5 hours would come out to 6

Can someone please do 1,2 and 3 please

Answers

Answer:

1. x= -1, -5

2. x= 9, -15

3. x= 3. -3

Step-by-step explanation:

The current value of a baseball card is 60 times its original value v
(in dollars). The baseball card is worth $15. Write and solve an equation to find the original value of the baseball card.

Answers

60v = $15

60v/60 = $15/60

v = 0.25

The original value of the baseball card is $0.25

Blanca eamed $3999.60 after working for 18.5 hours. How much did she earn for
one hour?

Answers

Answer: $216.19

Step-by-step explanation:

3999.60/18.5 = 216.19

Hey!

------------------------------------------------

[tex]\large\boxed{214.1945...~or~roughly~214~dollars~an~hour!}[/tex]

------------------------------------------------

Steps To Solve:

~Divide

3999.60 / 18.5 = 214.1945945...

~Round

214.1945945... ≈ 214

------------------------------------------------

Hope This Helped! Good Luck!

b) Mr. Wonderful has called on these students in class:
boy, boy, girl, boy, girl, boy, girl, girl, boy, boy
Based on this data, what is the probability that the next student called on​

Answers

So, Mr. Wonderful has called on 5 boys and 4 girls. 5 + 4 = 9, which equals everyone in total. It will most likely be a boy to be called on next. So the probability would be 5/9.

Neeeed help pleaseeeee????

Answers

Answer:

Leonard did make an error. He should have multiplied -7 by -5

Step-by-step explanation:

When you multiple a negative by a negative, it is a positive.

Solve for y 3(2y+5)=33 what do y=

Answers

3(2y+5)=33
6y + 15 = 33
6y = 33-15
6y = 18
y = 18/6
y = 3

Answer:

y = 3

Step-by-step explanation:

Given

3(2y + 5) = 33 ( divide both sides by the multiplier 3 )

2y + 5 = 11 ( subtract 5 from both sides )

2y = 6 ( divide both sides by 2 )

y = 3

I have no clue how to do this. Help.

Answers

Answer:

i think its x = -880

Step-by-step explanation:

so the triangle equals 180 degrees so you would put (x + 10) + (x + 20) + 50 = 180 and solve the equation. i might be wrong but i think thats how

The relation R is shown in the table below.
*
Y
-
35
-1 | 2
1
- 1
_
14
-1
Domain:
Range:

Answers

Answer:

(Insert table here)

Domain: {-3,-1,1}

Range: {-1,2,4,5}

The relation Q is described as a list of ordered pairs, shown below.

Q = { (-2, 4), (0, 2), (-1, 3), (4, -2) }

Domain: {-2,-1,0,4}

Range: {-2,2,3,4}

Step-by-step explanation:

Because its the answer

The Domain: {-3,-1,1} and Range: {-1,2,4,5}

What is domain and range?

Domain – All of the values that go into a relation or a function are called the domain.

Range – All of the entities (output) which emerge from a relation or a function are called the range.

All input values that are used (independent values) forms the Domain set.

All output values that are used (dependent values) forms the Range set.

Example: Given Function:- f = 2x+1 , Find the domain, range if 1<=x<=5.

The values of x lies from 1 to 10.

So, domain is {1, 2, 3, 4, 5}.

The values of f obtained by putting domain elements in the function will be range.

So, if x=1 then f = 2(1)+1 = 3,if x=2 then f = 2(2)+1 = 5, if x=3 then f = 2(3)+1 =7, if x=4 then f = 2(4)+1 = 9, if x=5 then f = 2(5)+1 = 11.

So, range is {3,5,7,9,11}.

We have relation Q as

Q = { (-2, 4), (0, 2), (-1, 3), (4, -2) }

so, we know domain are the input values

Domain: {-2,-1,0,4}

and range are the output values

Range: {-2,2,3,4}

What is the solution
y = 1/2y-6
X=-4

Answers

y=1/2x-6
y=1/2(-4)-6
y=-2-6
y=-8

What is the absolute value of -|-7 3/5|

Answers

Answer:

7 3/5

Step-by-step explanation:

The absolute value is never a negative.

Ex: What is the absolute value of -37

A. 37

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