## Algebra: A Combined Approach (4th Edition)

$x=\dfrac{\ln8}{2}\approx1.0397$
$e^{2x}=8$ Apply $\ln$ to both sides of the equation: $\ln e^{2x}=\ln8$ Take $2x$ down to multiply in front of its respective $\ln$: $2x\ln e=\ln8$ Since $\ln e=1$, this equation simplifies to: $2x=\ln8$ Solve for $x$: $x=\dfrac{\ln8}{2}\approx1.0397$