What is ${log}_{4} 16$ $log_4 16$ ?

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Answer 1 · 2014-10-21T13:59:33

Let

${log}_{4} 16 = x$ $log_4 16=x$ .

By rewriting in terms of exponential function,

$\Rightarrow 4^{x} = 16 = 4^{2}$ $Rightarrow 4^x=16=4^2$

by matching the powers,

$\Rightarrow x = 2$ $Rightarrow x=2$ .

I hope that this was helpful.

What is log416log_4 16?