Question

log de 1 sob 27 na base 9

Answer 1

㏒ 1/27 na base 9 = x

9^(x) = 1/3³

(3²)^(x) = 3^(-3)

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

2x = -3

x = -3/2 = -1,5

Answer 2

Se eu entendi, temos isso:

$log_{9}( \frac{1}{27} ) = x \\ \\ \frac{1}{27} = {9}^{x} \\ \\ {27}^{ - 1} = {3}^{2x} \\ ( {3}^{3} )^{ - 1} = 3^{2x} \\ - 3 = 2x \\ \\ x = - \frac{ 3}{2}$