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: 2

Answer

$x=4$

Work Step by Step

We are given the exponential equation $3^{x}=81$. We can express each side using a common base and then solve for $x$. $3^{x}=3^{4}=81$ Take the natural log of both sides. $ln(3^{x})=ln(3^{4})$ $xln(3)=4ln(3)$ Divide both sides by $ln(3)$. $x=4$
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