College Algebra 7th Edition

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: 3

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: $\begin{array}{ccc} &x-1&=&3 \\&x-1+1&=&3+1 \\&x&=&4 \end{array}$
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