Question

A solução de $2^{3x-2} =4^{x-1}$ é:

A) 0
B) 1
C) 2
D) 3

Answer 1

Explicação passo-a-passo:

$\sf 2^{3x - 2} = 4^{x - 1}$

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

$\sf 2^{3x - 2} = 2^{2*(x - 1)}$

$\sf 2^{3x - 2} = 2^{2x - 2}$

$\sf \backslash \!\!\! 2^{3x - 2} = \backslash \!\!\! 2^{2x - 2}$

$\sf 3x - 2 = 2x - 2$

$\sf 3x - 2x = - 2 + 2$

$\red{\sf x = 0}$

=====> Letra (A)