Question

Calcule: log de raiz de 32 na base 4

Answer 1

$\log_4 \sqrt{32} =x \\ \\ 4^{x} = \sqrt{32} \\ \\ 4^{x} = \sqrt{2^5} \\ \\ \not2^{2x} = \not2^{ \frac{5}{2} } \\ \\ 2x= \frac{5}{2} \\ \\ 4x=5 \\ \\ x= \frac{5}{4}$