Question

calcule os seguintes logaratimos log 1/2 3√16

Answer 1

$log_{ \frac{1}{2} } 3 \sqrt{16} = x \\ \\ ( \frac{1}{2} )^{x}= (16)^{ \frac{1}{3} } \\ \\ ( \frac{1}{2} )^{x}= (2^{4})^{ \frac{1}{3} } \\ \\ ( \frac{1}{2} )^{x}= (2^{ \frac{4}{3} }) \\ \\ 2^{-x} = (2^{ \frac{4}{3} }) \\ \\ x = - \frac{4}{3}$

Espero ter ajudado.

Answer 2

log (1/2) 3√16 = x

(1/2)^x =16^(1/3)

(1/2)^x = 2^(4/3)

2^(-x) = 2^(4/3)

x = -4/3