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2 answers:
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Answer:
r = 1
Step-by-step explanation:
In this question, we have to solve for the vallue of "r". We will use the distributive property shown below to ease our process.
Distributive Property:
a(b+c) = ab + ac
Now, lets solve this:
As we have seen the value of r is "1"
For this case we must find an expression equivalent to:
So:
We expanded by moving 2 out of the logarithm:
By definition of logarithm properties we have to:
The logarithm of a product is equal to the sum of the logarithms of each factor:
The logarithm of a division is equal to the difference of logarithms of the numerator and denominator.
Then, rewriting the expression:
We apply distributive property:
Answer:
An equivalent expression is: