Question

log 216√6 to the base√6 = ?​

Answer 1

Answer:

$log_{6}(216 \sqrt{6} ) \\ log_{6}( {6}^{3} (6) {}^{ \frac{1}{2} } ) \\ log_{6}(6 {}^{3 + \frac{1}{2} } ) \\ log_{6}(6 {}^{ \frac{7}{2} } ) \\ \frac{7}{2} log_{6}(6) \\ \frac{7}{2} \: \: ans$