Question

Resolva equação exponencial:2elevadox+elevado x+1 +elevado x+2+2elevado x+3=15sobre2

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{2^x + 2^{x + 1} + 2^{x + 2} + 2^{x + 3} = \dfrac{15}{2}}$

$\mathsf{2^x + (2^{x}.2) + (2^{x}.2^2) + (2^{x}.2^3) = \dfrac{15}{2}}$

$\mathsf{2^x(1 + 2 + 4 + 8) = \dfrac{15}{2}}$

$\mathsf{2^x.15 = \dfrac{15}{2}}$

$\mathsf{2^x = \dfrac{1}{2}}$

$\mathsf{2^x = 2^{-1}}$

$\boxed{\boxed{\mathsf{x = -1}}}$