# Chapter 12 - Exponential Functions and Logarithmic Functions - 12.4 Properties of Logarithmic Functions - 12.4 Exercise Set: 60

$0.369$

#### Work Step by Step

Using the properties of logarithms, the given expression, $\log_b \dfrac{5}{3} ,$ is equivalent to \begin{array}{l}\require{cancel} \log_b 5-\log_b 3 .\end{array} Since it is given that $\log_b 3=0.792$ and $\log_b5=1.161$, then the expression above, $\log_b 5-\log_b 3 ,$ evaluates to \begin{array}{l}\require{cancel} 1.161-0.792 \\\\= 0.369 .\end{array}

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