Question

Log de(3/2) na base 2/3

Answer 1

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

Answer 2

Log 3/2 na base 2/3 =

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

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

-x=1 ×(-1) =

X= -1

Ou

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

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

X = -1

Explicação: todo número elevado a um é igual a ele mesmo.