Answer
$x=4$
Work Step by Step
Since $125=5^3$, the given equation is equivalent to:
$5^{x-1} = 5^3$
Use the property $a^m = a^n \longrightarrow m=n$ to obtain:
$\begin{array}{ccc}
&x-1&=&3
\\&x-1+1&=&3+1
\\&x&=&4
\end{array}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 4, Exponential and Logarithmic Functions - Section 4.5 - Exponential and Logarithmic Functions - 4.5 Exercises - Page 404: 3
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