Answer
$x \approx 1.53$
Work Step by Step
Divide both sides of the equation by 5to obtain
$e^x=\dfrac{23}{5}.$
The base in the exponential equation is $e$ so take the natural logarithm on both sides to obtain
$\ln{e^x}=\ln{(\frac{23}{5})}.$
Use the inverse property $\ln{e^x}=x$ on the left side to obtain
$x = \ln{(\frac{23}{5})}.$
Use a calculator and round-off the answer to two decimal places to obtain
$x \approx 1.53.$
