Solve the equation. e^{3x+2}=50

Solve the equation.
${e}^{3x+2}=50$
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broliY
${e}^{3x+2}=50$
we have to calculate the value of x.
so taking $\mathrm{ln}$ both side
$\mathrm{ln}\left({e}^{3x+2}\right)=\mathrm{ln}\left(50\right)$
$\left(3x+2\right)\left(\mathrm{ln}e\right)=\mathrm{ln}\left(50\right)$
since,
$\mathrm{ln}\left(e\right)=1$
so,
$\left(3x+2\right)=\mathrm{ln}50$
$3x=\mathrm{ln}\left(50\right)-2$
$x=\frac{\mathrm{ln}\left(50\right)-2}{3}$