#### Answer

$x \approx 48.138$

#### Work Step by Step

Since $e^a=e^b$ if $a=b$ and $e^{\ln a}=a$, the equation can be written as $$3x+4=e^5$$ Subtract $4$ from both sides to get $$3x=e^5-4$$ Divide both sides by $3$ to get $$x = \frac{e^5-4}{3} \approx 48.138$$