Example 4 (Change of Base of Logarithms) October 3, 2017February 5, 2014 by Example 4 Given that ${\mathrm{log}}_{2}3=1.585$ and ${\mathrm{log}}_{2}5=2.322$ , evaluate the following. (a) ${\mathrm{log}}_{8}15$ (b) ${\mathrm{log}}_{5}0.6$ (c) ${\mathrm{log}}_{15}30$ (d) ${\mathrm{log}}_{16}45$