Question

What is log5(4*7)+log5^2 written as a single log

Answer 1

The correct answer is D. Log5 56

Explanation:

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Answer 2

ANSWER


`log(5(4 * 7)) + log( {5}^(2) ) = log(3500)`

EXPLANATION

We want to write the following as a single logarithm.




`log(5(4 * 7)) + log( {5}^(2) )`

We apply the following property of logarithms.



`log(a) + log(b) = log(ab)`

This implies that,



`log(5(4 * 7)) + log( {5}^(2) ) = log(5 * 4 * 7 * {5}^(2) )`




We simplify to get,




`log(5(4 * 7)) + log( {5}^(2) ) = log(3500)`