Question

calcule o valor de x e responda​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{4^{\:x - 2} + 4^{\:x + 1} = 65}$

$\mathsf{4^{x}.4^{-2} + 4^{x}.4 = 65}$

$\mathsf{4^{x}(\dfrac{1}{16} + 4) = 65}$

$\mathsf{4^{x}(\dfrac{1 + 64}{16}) = 65}$

$\mathsf{4^{x}(\dfrac{65}{16}) = 65}$

$\mathsf{4^{x} = 16}$

$\mathsf{\not4^{x} = \not4^2}$

$\boxed{\boxed{\mathsf{x = 2}}}$