[tex]\begin{gathered} \text{ First, we will leave alone the term with "e":} \\ 2(e)^{3t}=9 \\ e^{3t}^{}=\frac{9}{2} \\ \\ \text{now, if w}e\text{ apply logarithm to both side of the equation} \\ \\ \log _e(e^{3t})=log_e(\frac{9}{2}) \\ 3t=\log _e(\frac{9}{2}) \\ \\ \end{gathered}[/tex][tex]\begin{gathered} \text{remember that} \\ \log _a(a^n)=n \end{gathered}[/tex]
