Question

Qual o valor de: Log√2 na base 4?

Answer 1

$log_{4}( \sqrt{2} ) = x \Longleftrightarrow {4}^{x} = \sqrt{2} \\ {4}^{2x} = 2 \rightarrow( {2} )^{4x} = 2 \: \rightarrow \: 4x = 1 \: \rightarrow \: \\ x = \frac{1}{2}$