Question

If log√2 64 = x , then x = ………………..

a) 5 b) 8 c) 16 d) 12​

Answer 1

Answer:d

Step-by-step explanation:

Answer 2

$log_{ \sqrt{2} }(64) = log_{ {2}^{ \frac{1}{2} } }(64) \\ = \frac{1}{2} log_{2}(64) = \frac{1}{2} log_{2}( {2}^{6} ) \\ = \frac{6}{2} log_{2}( {2} ) = 3 \times 1 \\ = 3$