Question

log√2 64 is equal to

Answer 1

Hi Friend !!!

log √264 = 1.21080


Hope it helps u : )

Answer 2

[0010001111]... Hello User... [1001010101]
Here's your answer...

$log_{ \sqrt{2} }(64) \\ = log_{ {2}^{ \frac{1}{2} } }( {2}^{6} ) \\ log_{ {a}^{x} }(y) = \frac{1}{x} log_{a}(y) \\ log_{a}( {y}^{z} ) = z log_{a}(y) \\ log_{ {a}^{x} }( {y}^{z} ) = \frac{x}{z} log_{a}(y)$
By using this property in the above equation...
$log_{ {2}^{ \frac{1}{2} } }( {2}^{6} ) \\ = \frac{6}{ \frac{1}{2} } log_{2}(2) \\ = 12 log_{2}(2) \\ = 12$
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