# Chapter 12 - Section 12.8 - Exponential and Logarithmic Equations and Problem Solving - Exercise Set: 4

{$\frac{\log 11}{\log 3}$} , {$2.1827$}

#### Work Step by Step

$3^{x}=11$ $\log 3^{x}=\log 11$ $x\log 3=\log 11$ $x=\frac{\log 11}{\log 3}\approx\frac{1.041393}{0.477121}\approx2.1827$ The exact solution is {$\frac{\log 11}{\log 3}$} while the solution to 4 decimal places is {$2.1827$}.

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