Respuesta :

rjnelson100
if x = log[27](9), that means that 27 to the xth power equals 9.
27^x = 9

The cube root of 27 (27^1/3) = 3, and 3 squared (3^2) equals 9.
So, 27^(2/3) = 9.
x= 2/3

Hope this helps! :)
Edufirst
The expresion is log base 27 of 9 = x

Then, as per logarithm properties: the base raised to x = 9

27 ^ x = 9

[3^3]^x = 3^2

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

3x = 2

x = 2 / 3

Answer: 2 / 3