Answer
$\ln{1.25}-1$
Work Step by Step
Divide $4$ to both sides of the equation to obtain:
$e^{x+1}=\dfrac{5}{4}$
$e^{x+1}=1.25$
$\because e^y=x \text{ is equivalent to } y=\ln{x}$
$\therefore e^{x+1} = 1.25 \text{ is equivalent to } x+1=\ln{1.25}$
Solve the equation above to obtain:
\begin{align*}
x+1&=\ln{1.25}\\
x&=\ln{1.25}-1\end{align*}
