Question

calcule o valor dos seguintes logaritmos

log 32
√2

Answer 1

$log_{ \sqrt{2} }(32) = x \\ { \sqrt{2} }^{x} = 32 \\ { ( {2}^{ \frac{1}{2} } )}^{x} = {2}^{5} \\ {2}^{ \frac{x}{2} } = {2}^{5} \\ \frac{x}{2} = 5 \\ x = 10$