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

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27 votes

Given

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.

Tsitixe answered Sep 6, 2023

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