Answer
$x=±\sqrt {\frac{\ln(50)}{\ln(5)}}$
Work Step by Step
Use the natural log on both sides to solve for $x$.
$5^{x^2}=50$
$\ln(5^{x^2})=\ln(50)$
$x^2\ln(5)=\ln(50)$
$x^2=\frac{\ln(50)}{\ln(5)}$
$x=±\sqrt {\frac{\ln(50)}{\ln(5)}}$
College Algebra (6th Edition)
by Blitzer, Robert F.
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: 98
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