The correct answer is A.
Step-by-step explanation:
According to the power rule for logarithms, the logarithm of a power can be simplified by writing it as the product of the exponent multiplied by the logarithm of the base.
For example;

Hence in this case,

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Logarithms : brainly.com/question/11535704
Keyword : log
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Answer:
x = 15°
Step-by-step explanation:
(5x-15) + 75 + 3x = 180
8x + 60 = 180
8x = 120
x = 15°
Answer:
5x + 4y + 12 = 0
Step-by-step explanation:
Start with the point-slope equation of a straight line: y - k = m(x - h):
Here we are given the point (h, k): (-8, 7) and the slope m = -5/4. Inserting this info into the equation give above, we get: y - 7 = (-5/4)(x + 8).
We must put this equation into "standard form" Ax + By + C = 0.
Multiply all three terms by 4 to remove fractions: 4y - 28 = -5(x + 8), or
4y - 28 + 5x + 40 = 0
Rearranging these terms, we get 5x + 4y + 12 = 0, which is the desired equation in standard form.
The equation that shows the relationship between the number of cups and pints is c = 2p.
<h3>What is an
equation?</h3>
An equation is an expression used to show the relationship between two or more variables and numbers.
Let c represent the number of cups and p represent the number of pints. There are 2 cups in 1 pint. Hence:
c = 2p
When p = 2; c = 2(2) = 4
When p = 3; c = 2(3) = 6
The equation that shows the relationship between the number of cups and pints is c = 2p.
Find out more on equation at: brainly.com/question/2972832