Answer
$M=7$
Work Step by Step
The Change of Base of formula says: $log_a b=\frac{log_c b}{log_c a}$, hence $\frac{log_5 7}{log_5 8}=log_8 7$.
Thus, if $log_8 7=log_8 M$, then $M=7.$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 5 - Exponential and Logarithmic Functions - 5.5 Properties of Logarithms - 5.5 Assess Your Understanding - Page 305: 7
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