ANSWER:
3
STEP-BY-STEP EXPLANATION:
We have the following equation:
[tex]\left(\frac{3}{2}\right)^x=\left(\frac{27}{8}\right)[/tex]
We solve for x:
[tex]\begin{gathered} \left(\frac{3}{2}\right)^x=\left(\frac{3^3}{2^3}\right) \\ \:\left(\frac{3}{2}\right)^x=\left(\frac{3}{2}\right)^3 \\ \text{ Having the same base, we establish the following:} \\ x=3 \end{gathered}[/tex]
The solution set is 3
