Chapter 12 - Exponential Functions and Logarithmic Functions - 12.5 Common Logarithms and Natural Logarithms - 12.5 Exercise Set - Page 818: 39

$1.1610$

Using $\log_b a=\dfrac{\log a}{\log b}$ or the Change-of-Base Formula, the value of the given expression, $ \log_4 5 ,$ to four decimal places is \begin{array}{l}\require{cancel} \dfrac{\log 5}{\log 4} \\\\= 1.1610 .\end{array}