How do you change $6^{3} = 216$ $6^3 = 216$ into log form?

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Answer 1 · 2016-06-04T03:29:34

${log}_{6} 216 = 3$ $log_6 216 = 3$

$6^{3} = 216$ $6^3 = 216$

Apply ${log}_{6}$ $log_6$ to both sides
$\Rightarrow {log}_{6} 6^{3} = {log}_{6} 216$ $=> log_6 6^3 = log_6 216$

$\Rightarrow 3 {log}_{6} 6 = {log}_{6} 216$ $=> 3log_6 6 = log_6 216$

$\Rightarrow 3 = {log}_{6} 216$ $=> 3 = log_6 216$

How do you change 63=2166^3 = 216 into log form?