How do you evaluate ${log}_{16} 2$ $log_16 2$ ?

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Answer 1 · 2016-03-23T23:02:40

1/4

Remember that $16 = 2^{4}$ $16=2^4$ :

${log}_{16} (2) = {log}_{16} (16^{\frac{1}{4}}) = \frac{1}{4}$ $log_16(2)=log_16(16^(1/4))=1/4$

How do you evaluate log162log_16 2?