Question

If log base 2 16 = 4, find log base 16 2.​

Answer 1

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Answer 2

Given: $\log_2(16) =4$

we have to find: $log_{16}(2)=?$

we know the formula that: $log_{b}(a)=\frac{1}{log_{a}(b) }$

Therefore:

$log_{16}(2)=\frac{1}{log_{2}(16)}$

we know $\log_2(16) =4$

Therefore:

$log_{16}(2)=\frac{1}{log_{2}(16)}$

$log_{16}(2)=\frac{1}{4}$.