Answer
$\approx 6.958$
Work Step by Step
$4\left( 1.06\right) ^{x}+2=8\Rightarrow 4\left( 1.06\right) ^{x}=6\Rightarrow \left( 1.06\right) ^{x}=\dfrac {6}{4}\Rightarrow x=\log _{1.06}\dfrac {6}{4}\approx 6.958$
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