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: 98

Answer

$x=±\sqrt {\frac{\ln(50)}{\ln(5)}}$

Work Step by Step

Use the natural log on both sides to solve for $x$. $5^{x^2}=50$ $\ln(5^{x^2})=\ln(50)$ $x^2\ln(5)=\ln(50)$ $x^2=\frac{\ln(50)}{\ln(5)}$ $x=±\sqrt {\frac{\ln(50)}{\ln(5)}}$
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