## College Algebra (6th Edition)

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