EXPLANATION
Given
[tex]3^{2x}+4=31[/tex]We can find the value of x below.
[tex]\begin{gathered} 3^{2x}+4=31 \\ subtract\text{ 4 from both sides} \\ 3^{2x}-4+4=31-4 \\ 3^{2x}=27 \\ 3^{2x}=3^3 \\ 2x=3 \\ divide\text{ both sides by 2} \\ x=\frac{3}{2} \\ x=1.5 \end{gathered}[/tex]Answer: 1.5
