Chapter 12 - Exponential Functions and Logarithmic Functions - 12.5 Common Logarithms and Natural Logarithms - 12.5 Exercise Set - Page 818: 45

$2.0115$

Using $\log_b a=\dfrac{\log a}{\log b}$ or the Change-of-Base Formula, the value of the given expression, $ \log_{\pi} 10 ,$ to four decimal places is \begin{array}{l}\require{cancel} \dfrac{\log 10}{\log \pi} \\\\= 2.0115 .\end{array}