College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.4: 3

Answer

$x=3$

Work Step by Step

We are given the exponential equation $5^{x}=125$. We can express each side using a common base and then solve for $x$. $5^{x}=5^{3}=125$ Take the natural log of both sides. $ln(5^{x})=ln(5^{3})$ $xln(5)=3ln(5)$ Divide both sides by $ln(5)$. $x=3$
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