Question

Resolva a Equação Exponencial:

Answer 1

Resposta:

${4}^{x + 1} \times {2}^{x - 2} = 16 \\ {2}^{2x + 2} \times {2}^{x - 2} = {2}^{4} \\ {2}^{3x} = {2}^{4} \\ 3x = 4 \\ x = \frac{4}{3}$

Answer 2

Oie, Td Bom?!

$4 {}^{x + 1} \: . \: 2 {}^{x - 2} = 16$

$(2 {}^{2} ) {}^{x + 1} \: . \: 2 {}^{x - 2} = 16$

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

$2 {}^{2x + 2 + x - 2} = 2 {}^{4}$

$2 {}^{2x + x} = 2 {}^{4}$

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

• Bases iguais, iguale os expoentes.

$3x = 4$

$x = \frac{4}{3}$

Att. Makaveli1996