Answer
$x=7$
Work Step by Step
Let
$\log_{5}{5^7} = x$
RECALL:
$\log_b{y} =x \longrightarrow b^x=y$
Use the rule above, where $y=5^7$ and $b=5$, to obtain:
$5^x=5^7$
Use the rule "If $a^x=a^y$, then $x=y$" to obtain:
$x=7$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 9 - Section 9.3 - Logarithmic Functions - Exercise Set - Page 700: 39
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