Question

Equação exponencial:

Answer 1

Explicação passo-a-passo:

a)

${3}^{x + 2} + {3}^{x + 1} = 12$

$(3 + 1) \times {3}^{x + 1} = 12$

$4 \times {3}^{x + 1} = 12$

${3}^{x + 1} = 3$

${3}^{x + 1} = {3}^{1}$

$x + 1 = 1$

$\red{\boxed{\blue{\boxed{x = 0}}}}$

b)

${5}^{x - 1} + {5}^{x - 3} = 26$

$( {5}^{2} + 1) \times {5}^{x - 3} = 26$

$(25 + 1) \times {5}^{x - 3} = 26$

$26 \times {5}^{x - 3} = 26$

${5}^{x - 3} = 1$

${5}^{x - 3} = {5}^{0}$

$x - 3 = 0$

$\red{\boxed{\blue{\boxed{x = 3}}}}$