Chapter 1 - Functions - 1.3 Inverse, Exponential, and Logarithmic Functions - 1.3 Exercises - Page 37: 62

$\log_{6}60=\dfrac{\ln60}{\ln6}\approx2.285097$

$\log_{6}60$ Apply the change of base formula, which is $\log_{b}x=\dfrac{\log_{a}x}{\log_{a}b}$, to express the given $\log$ in terms of the natural logarithm: $\log_{6}60=\dfrac{\ln60}{\ln6}$ Evaluate using a calculator: $\dfrac{\ln60}{\ln6}\approx2.285097$