Question

Calcular o valor da função 4 elevado x -1 = 1/2

Answer 1

Resposta:

Explicação passo-a-passo:

$(2^{2} )^{x-1} = \frac{1}{2}$

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

eliminado as bases comuns temos.

2x - 2 = -1

2x = -1 + 2

x = 1 / 2

Answer 2

$4 ^{x - 1} = \frac{1}{2}$

$( {2}^{2} )^{x - 1} = \frac{1}{2}$

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

$(( \frac{1}{2}) ^{ - 1} ) ^{2x - 2} = \frac{1}{2}$

$\frac{1}{2}^{ - 2x + 2} = \frac{1}{2}$

$- 2x + 2 = 1$

$- 2x = 1 - 2$

$- 2x = - 1$

$x = \frac{1}{2}$