Question

Log 2 raiz de 2 de base 4

Answer 1

Resposta:

$log_{4}(2 \sqrt{2} ) =x \\ {4}^{x } = 2 \sqrt{2} \\ {2}^{2x} = 2. {2}^{ \frac{1}{2} } \\ {2}^{2x} = {2}^{1 + \frac{1}{2} } \\ {2}^{2x} = {2}^{ \frac{3}{2} } \\ 2x = \frac{3}{2} \\ x = \frac{ \frac{3}{2} }{2} \\ x = \frac{3}{4}$