Question

dadas as funções f(x)=4×-⁴ e g(x)=4-×+⁸, se x satisfaz f(x)=g(x), então 2× é:​

Answer 1

Vamos là.

f(x) = 4^(x - 4)

g(x) = 4^(-x + 8)

f(x) = g(x)

4^(x - 4) = 4^(-x + 8)

x - 4 = -x + 8

2x = 12

x = 12/2 = 6

então

2^x = 2^6 = 64

Answer 2

Resposta:

f(x)=g(x)

$4^{x-4}=4^{-x+8}\\ \\ cancela ~~a~~base~~4\\ \\ x-4=-x+8\\ \\ x+x=8+4\\ \\ 2x=12\\ \\ x=\dfrac{12}{2}\\ \\ x=6\\ \\ \\ logo:\\ \\\boxed{ 2^x=2^6=64}$