Question

log de 27 na base 1/9

Answer 1

Boa noite! Tudo bem?

㏒₁/₉ 27 = x

$( \frac{1}{9} )^{x}$= 27
9⁻ˣ = 27
(3²)⁻ˣ = 3³
3 ⁻²ˣ = 3³ (Corta as bases)
-2x = 3
x = $- \frac{3}{2}$

Answer 2

veja...

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