how do i solve log (×)6=4

The value of [tex]$\left(5^4\right)^4$[/tex] simplified to [tex]$5^{16}$[/tex], meaning x = 16.

To simplify [tex]$\left(5^4\right)^4$[/tex], we first expand it as [tex]$5^4 \cdot 5^4 \cdot 5^4 \cdot 5^4$[/tex], using four factors of [tex]$5^4$[/tex].

Applying the product of powers rule, we add the exponents together: [tex]$5^{4+4+4+4}$[/tex]. This simplifies to [tex]$5^{16}$[/tex].

In essence, raising a power to another power involves multiplying the exponents.

In this case, we have four factors of [tex]$5^4$[/tex], which means we multiply 4 by 4, resulting in [tex]$5^{16}$[/tex].

So, the value of x in the simplified power [tex]$5^x$[/tex] is 16.

Complete Question:

Simplify this power raised to a power: [tex]$\left(5^4\right)^4$[/tex]

1. Expand using four factors of [tex]$5^4$[/tex] : [tex]5^4 \cdot 5^4 \cdot 5^4 \cdot 5^4[/tex]

2. Apply the product of powers rule: [tex]5^{4+4+4+4}[/tex]

3. Simplify: [tex]5^x[/tex]

What is the value of x in the simplified power?

The surface area of the given three-dimensional figure is 210 square units.

Option A will be the correct answer.

A cuboid is a three-dimensional figure having length, width and height. The surface area of a cuboid can be calculated by adding together the areas of the six faces.

For the given cuboid, length l = 8 , width w = 5 and height h = 5.

Area of Cuboid  =  2 lw + 2 lh + 2 wh

[tex]A = 2\times l\times w + 2 \times l\times h + 2\times w\times h[/tex]

Substituting the values in the above formula, the area will be,

[tex]A = 2 \times 8 \times 5 + 2 \times 8 \times 5 + 2\times 5\times 5[/tex]

[tex]A = 210 \;\rm {units}^2[/tex]

Hence, the surface area of the cuboid is 210 square units.

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Answer:

A. It is linear because it has a constant rate of change.

Step-by-step explanation:

A straight line graph is possible between two variables x and y only if there is a constant rate of change

y = mx+b is the equation of a straight line in general and here we find rate of change of y with respect to x is constant m which does not depend on x or y.

In other words, throughout the domain a straight line has constant slope.

Here we find that the graph given is a straight line.

Hence option A is suitable answer

A. It is linear because it has a constant rate of change.

Answer: [tex]m= 8(20)+10[/tex]

Step-by-step explanation:

Given : The number of markers in each of 8 pack = 20

Then, the number of markers in 8 packs = 8 x 20 = 8(20)

Also, You already had 10 markers.

Then, the total markers you have now =  Number of markers in 8 packs+ 10

= 8(20)+10

If we denote the total number of markers be 'm'.

Then, the required equation will be :-

[tex]m= 8(20)+10[/tex]

Hence, the equation shows how to calculate the total number of markers, m, you have : [tex]m= 8(20)+10[/tex]

The result of 4 3/4 times 3 3/5 times 15 is 513/2.

To multiply the fractions 4 3/4, 3 3/5, and 15, we first need to convert the mixed numbers to improper fractions.

4 3/4 can be written as (4 * 4 + 3)/4 = 19/4

3 3/5 can be written as (3 * 5 + 3)/5 = 18/5

Now we multiply the fractions:

(19/4) * (18/5) * 15 = (19 * 18 * 15)/(4 * 5) = 5130/20

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 10:

5130/20 = (5130 ÷ 10)/(20 ÷ 10) = 513/2

Therefore, the result of the multiplication in fraction form is 513/2.

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If a system has exactly one or infinite number of solutions then it will be a consistent system.

So, we can solve the given system of equation to get the answer.

y=4x−4 ................(1)

y=−4x+4...............(2)

After equating both the equations we will get,

4x-4= -4x+4

4x-4+4x=4 (Adding 4x to each sides).

8x-4=4

8x=4+4 (Adding 4 to each sides).

8x=8

8x/8=8/8 ( Dividing each sides by 8).

x=1

Now pluging x=1 in equation (1). So,

y=4x−4

=4(1)-4

=4-4

=0

Hence the solution of the given system is (1, 0) which also means that the two equations is intersecting at a point(1,0).

So, the given system is consistent and coincident.

Answer:

The answer is " Consistent And Independent"

Why? :

When 2 Lines intersect at one point it means it Consistent and Independent

and When the Lines are the same exact thing its Consistent and Dependent

But, when 2 lines don't intersect at all its inconsistent.   :)

I also Took The 5.11 Unit Test :)

The average rate of change over the entire slide is -0.05.

The average rate of change from x = 0 to x = 15 is calculated by finding the slope of the secant line that intersects the graph of the function at x = 0 and x = 15.

The slope of the secant line is:

m = ([tex]y_2[/tex] - [tex]y_1[/tex])/([tex]x_2[/tex] - [tex]x_1[/tex])

= (-2 - 15)/(15 - 0)

= -17/15

= -1.133

The average rate of change from x = 0 to x = 20 is calculated by finding the slope of the secant line that intersects the graph of the function at x = 0 and x = 20.

The slope of the secant line is:

m = ([tex]y_2[/tex] - [tex]y_1[/tex])/([tex]x_2[/tex] - [tex]x_1[/tex])

= (2 - 15)/(20 - 0)

= -13/20

= -0.65

The average rate of change from x = 0 to x = 20 is smaller than the average rate of change from x = 0 to x = 15.

This is because the slope of the secant line is getting closer to 0 as the interval gets larger.

If the height of the slide is 2 feet when x = 20, then the average rate of change over the entire slide is:

m = ([tex]y_2[/tex] - [tex]y_1[/tex])/([tex]x_2[/tex] - [tex]x_1[/tex])

= (2 - 1)/(20 - 0)

= -1/20

= -0.05

The average rate of change over the entire slide is also negative, but it is much smaller than the average rate of change from x = 0 to x = 15.

This is because the slope of the secant line is getting closer to 0 as the interval gets larger.

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Answer:

The record number was 275 tires.

165/x=60/100

165 times 100=16500

16500/60=275

x=275

Step-by-step explanation:

Answer:

B . $ 884.56

Step-by-step explanation:

Since, monthly payment formula of a loan,

[tex]P=\frac{PV(\frac{r}{12})}{1-(1+\frac{r}{12})^{-12t}}[/tex]

Where,

PV = principal value,

r = annual rate of interest,

t = number of years,

Here,

PV = $ 162,000,

r = 5.15% = 0.0515,

t = 30,

Hence, the monthly payment would be,

[tex]P=\frac{162000(\frac{0.0515}{12})}{1-(1+\frac{0.0515}{12})^{-360}}[/tex]

[tex]=\$ 884.562485827[/tex]

[tex]\approx \$ 884.56[/tex]

OPTION B is correct.

Answer:

Right

Step-by-step explanation:

The answer to the given mathematical expression is [tex]\(\frac{20}{3}\)[/tex].

To solve this expression, we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMDAS.

First, we simplify the expression inside the parentheses:

[tex]\(27 - 22 - 3 \times 5 + 25\)[/tex]

Multiplication comes before addition and subtraction, so we perform the multiplication first:

[tex]\(27 - 22 - 15 + 25\)[/tex]

Next, we perform the subtraction and addition from left to right:

[tex]\(5 - 15 + 25\)[/tex]

[tex]\(-10 + 25\)[/tex]

[tex]\(15\)[/tex]

Now we have simplified the denominator, so the expression becomes:

[tex]\(\frac{100}{15}\)[/tex]

Finally, we divide 100 by 15 to get the result:

[tex]\(\frac{100}{15} = \frac{20 \times 5}{3 \times 5}\)[/tex]

We can cancel out the common factor of 5:

[tex]\(\frac{20}{3}\)[/tex]