How do you evaluate ${log}_{16} 4$ $log_16 4$ ?

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How do you evaluate ${log}_{16} 4$ $log_16 4$ ?

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Answer 1 · 2016-08-12T20:20:43

$\frac{1}{2}$ $1/2$

Explanation:

Using the $law of logs$ $color(blue)"law of logs"$

$color(red)(|bar(ul(color(white)(a/a)color(black)(log_b a=nhArra=b^n)color(white)(a/a)|)))$

let $log_16 4=nrArr4=16^nrArrn=1/2$

$rArrlog_16 4=1/2$

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How do you evaluate ${log}_{16} 4$ $log_16 4$ ?

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How do you evaluate ${log}_{16} 4$ $log_16 4$ ?