Question

If log base √3 of 81 = x,then the value of x is a) 4 b) 8 c) 16 d) 32

Answer 1

Ans. : B) 8
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Solution :

$log_{ \sqrt{3} }(81) = x \\ \\ x = log_{ \sqrt{3} }(81) \\ \\ x = log_{ \sqrt{3} }( {3}^{4} ) \\ \\ x = log_{ \sqrt{3} }( { (\sqrt{3} })^{8} ) \\ \\ x = 8 log_{ \sqrt{3} }( \sqrt{3} ) \\ \\ x = 8 \times 1 \\ \\ x = 8$