# How do you solve 16^v=67?

Oct 27, 2016

$v \approx 1.516522$

#### Explanation:

An important equivalence you need to remember:
$\textcolor{w h i t e}{\text{XXX}} \textcolor{red}{{\log}_{b} a = c}$ is equivalent to $\textcolor{red}{{b}^{c} = a}$

$\textcolor{b l u e}{{16}^{v} = 67}$ means $\textcolor{b l u e}{{\log}_{16} 67 = v}$

You should be able to use a calculator or spreadsheet to evaluate:
$\textcolor{w h i t e}{\text{XXX}} \textcolor{b l u e}{v = {\log}_{16} 67 \approx 1.516522}$