Chapter 5 - Exponential and Logarithmic Functions - 5.4 Logarithmic Functions - 5.4 Assess Your Understanding - Page 296: 103

$x=\frac{ln{8}-5}{2}$

If $e^{2x+5}=8$, then by taking the natural logarithm of both sides we get $2x+5=ln{8}.$ Solve the equation above to obtain: \begin{align*}2x=ln{8}-5\end{align*} \begin{align*}x=\frac{ln{8}-5}{2}\end{align*}