In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
9^(-3x+2) =48
x = ?
Step 02:
[tex]\ln (9)^{(-3x+2)}=\text{ ln(48)}[/tex][tex]\begin{gathered} (-3x+2)\ln (9)=\ln (48) \\ -3x=\frac{\ln(48)}{\ln(9)}-2 \end{gathered}[/tex][tex]x=\text{ (}\frac{\ln(48)}{\ln(9)}-2)\cdot\frac{1}{(-3)_{}}[/tex]x= 0.07938
The answer is:
x = 0.0794
