1 Answer

Yosser Goupil · Answer 1 · 2023-03-30T06:41:21+0000

The given logarithm expression is:

$2\log_72+6\log_75$

It is required to use the properties of logarithms to rewrite the expression.

Use the Power Property of Logarithm to rewrite each term of the expression:

$\Rightarrow\operatorname{\log}_72^2+\operatorname{\log}_75^6$

Rewrite the expression using the Product Property of Logarithm:

$\Rightarrow\log_7(2^2\cdot5^6)=\log_7(5^6\cdot2^2)$ The answer is B.

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