Question

solucao exponencial 2^x+2 - 3.2^x=16

Answer 1

2²x+2-3.2²=16
4x+2-3.4x=16
4x+2-12x=16
6x-12x=16
-6x=16
x=16+6
x=22

Answer 2

Propriedades

$a^{b}.a^{c}=a^{b+c}$



Resolução

$2^{x+2} - 3.2^x=16\\2^2.2^x-3.2^x=16\\2^x=y\\4y-3y=2^4\\y=2^4\\2^x=2^4\\\boxed{x=4}$

Verificação

$2^{4+2}-3.2^4=16\\2^6-3.2^4=16\\64-48=16\\16=16$