# Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.3: 85

$3A$

#### Work Step by Step

We are given that $log_{b}2=A$ and $log_{b}3=C$. According to the power rule of logarithms, we know that $log_{b}M^{p}=plog_{b}M$ (when $b$ and $M$ are positive real numbers, $b\ne1$, and $p$ is any real number). Therefore, $log_{b}8=log_{b}(2^{3})=3log_{b}2=3(A)=3A$.

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