Question

Calcule o logaritmo de 1/3^(1/2) na base 1/27

Answer 1

log1/27 (1/3)^(1/2)
=> 1/2 × log1/27 1/3
=> 1/2 × 1/3
=> 1/6

Answer 2

$\log _\frac{1}{27}\left ( \frac{1}{3}\right )^{\frac{1}{2}} = x\\ \\ \left ( \frac{1}{27} \right )^{x} =\left ( \frac{1}{3} \right )^{\frac{1}{2}}\\ \\ ((3)^{-3})^{x}= (3)^{\frac{-1}{2}}\\ \\ -3x = \frac{-1}{2}\\ \\ x = \frac{\frac{-1}{2}}{-3}\\ \\ x = \frac{1}{6}$