Question

12^x = 94Solve the equations and check for extraneous solutions

Answer 1

Given

`12^x=94`

Solve for x as shown below

`\begin{gathered} \Rightarrow ln(12^x)=ln(94) \\ \Rightarrow xln(12)=ln(94) \\ \Rightarrow x=(ln(94))/(ln(12))\approx1.8284 \end{gathered}`

The exact answer is x=ln(94)/ln(12). There are no extraneous solutions.