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Integration of Trigonometric Functions

Evaluate lo...

Question

Evaluate $log (216 \sqrt{6})$ to the base 6.

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Solution

${log}_{6} 216 \sqrt{6}$
$= {log}_{6} 6^{7 / 2}$
$= \frac{7}{2}$ ( ${log}_{a} a = 1$ )
$= 3.5$

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