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OLga [1]
3 years ago
7

Evaluate each logarithm. Do not use a calculator. Log (125)(1/25)

Mathematics
1 answer:
svetlana [45]3 years ago
6 0

Answer:

-2/3

Step-by-step explanation:

Log125(1/25)=x

Raise each side to the base of 125

125^Log125(1/25)=125^x

1/25 = 125^x

Rewrite 25 as a power of 5  and 125 as a power of 5

1 / 5^2 = 5^3^x

The if power is in the denominator, we can bring it to the numerator by making it negative

5^-2 = 5^3^x

We know that a^b^c = a^(b*c)

5^-2 = 5^(3*x)

Since the bases are the same, the exponents are the same

-2 = 3x

Divide by 3

-2/3 = 3x/3

-2/3 =x

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2.74 liters since 1000mL is a liter.
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Solve for u in terms of s, t, and v. <br> t = u + s + v
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2 years ago
7. Identify a horizontal or vertical stretch or compression of the function f(x)=√x by observing the equation of the function g(
Effectus [21]

It is a vertical stretch.

<h3>What is functions?</h3>

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Given

To solve this problem you must apply the procedure shown below:

1. You have the following parent function given in the problem above:

f(x) = √x

2. And you have the function g(x) = √3x

3. By definition, if you have the function y = ax and |a| > 1 it is a vertical stretch.

4. Therefore, you have that:

|a| = √3

√3 > 1

Therefore the answer is: It is a vertical stretch.

to learn more about functions refer to:

brainly.com/question/11624077

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6 0
2 years ago
The volume of a sphere is V=4/3 pie r 3
Volgvan

Answer:

A. 288pi in^3

Step-by-step explanation:

s

ee image

6 0
2 years ago
Which is the slope of the like represented by the equation 2x+3y=-12
Burka [1]

slope = - \frac{2}{3}

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 2x + 3y = - 12 into this form

subtract 2x from both sides

3y = - 2x - 12 ( divide all terms by 3 )

y = - \frac{2}{3} x - 4 ← in slope- intercept form

with slope m = - \frac{2}{3}


4 0
3 years ago
Read 2 more answers
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