Question

Resolva a Equação Exponencial:

Answer 1

4^(x + 1) . 2^(x - 2) = 16

2^2(x + 1) . 2^(x - 2) = 2^4

2^[2(x + 1) + x - 2] = 2^4

2(x + 1) + x - 2 = 4

2x + 2 + x - 2 = 4

3x = 4

x = 4/3

Resposta: x = 4/3

Answer 2

Resposta: x = 5/2

Explicação passo-a-passo:

4^x+1 * 2^x-2 = 16

2^1 * 2^x * 2^x-2 = 2^4

2^(1+x+x-2) = 2^4

2^2x-1 = 2^4 (Cancelando as bases 2)

2x - 1 = 4

2x = 4 + 1

2x = 5

x = 5/2