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 - Page 490: 97


$x=±\sqrt {\frac{\ln(45)}{\ln(3)}}$

Work Step by Step

Use the natural log on both sides to solve for $x$. $3^{x^2}=45$ $\ln(3^{x^2})=\ln(45)$ $x^2\ln(3)=\ln(45)$ $x^2=\frac{\ln(45)}{\ln(3)}$ $x=±\sqrt {\frac{\ln(45)}{\ln(3)}}$
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