How do you calculate $Log_2 64$ ?

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Answer 1 · 2018-05-02T05:54:31

$" "$
$color(blue)(log_2(64)=6$

$" "$
$color(red)(log_2(64)$ .

Rewrite $color(green)64$ as $color(green)(2^6$ .

Use the **Log Rule: ** $color(brown)(log_a(x^b)=[b*log_a(x)]$

$log_2(2^6) = 6*[log_2(2)]$

Since, $[log_2(2)]=1$ ,

$log_2(64)=6.1=6$

Hence,

$color(blue)(log_2(64)=6$

Hope it helps.

How do you calculate Log_2 64Log_2 64?