Question

resolva a equação exponencial: 2^3x + 2^ 3x+1 + 2^ 3x+2 + 2^3x + 3 = 240

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\sf{2^{3x} + 2^{3x + 1} + 2^{3x + 2} + 2^{3x + 3} = 240}$

$\sf{2^{3x} + 2^{3x}.2 + 2^{3x}.2^2 + 2^{3x}.2^3 = 240}$

$\sf{2^{3x} + 2^{3x}.2 + 2^{3x}.4 + 2^{3x}.8 = 240}$

$\sf{2^{3x}(1 + 2 + 4 + 8) = 240}$

$\sf{2^{3x}.15 = 240}$

$\sf{2^{3x} = 16}$

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

$\sf{3x = 4}$

$\boxed{\boxed{\sf{x = \dfrac{4}{3}}}}$