Chapter 12 - Exponential Functions and Logarithmic Functions - 12.5 Common Logarithms and Natural Logarithms - 12.5 Exercise Set - Page 818: 36

$2.0153$

Using $\log_b a=\dfrac{\log a}{\log b}$ or the Change-of-Base Formula, the value of the given expression, $ \log_6 37 ,$ to four decimal places is \begin{array}{l}\require{cancel} \dfrac{\log 37}{\log 6} \\\\= 2.0153 .\end{array}