0.376=1-1/(x^{0.62)}

Solución

0.376 = 1 - \frac{1}{x ^{0.62}}

x = (\frac{125}{78})^{\frac{50}{31}}

Notación decimal

x = 2.13967 \dots

Pasos de solución

0.376 = 1 - \frac{1}{x ^{0.62}}

Multiplicar ambos lados por

x^{0.62}

0.376 x^{0.62} = 1 \cdot x^{0.62} - \frac{1}{x ^{0.62}} x^{0.62}

Simplificar

0.376 x^{0.62} = x^{0.62} - 1

Multiplicar ambos lados por

1000

376 x^{0.62} = 1000 x^{0.62} - 1000

Mover

1000 x^{0.62}

al lado izquierdo

- 624 x^{0.62} = - 1000

Dividir ambos lados entre

- 624

x^{0.62} = \frac{125}{78}

Elevar ambos lados de la ecuación a la potencia

\frac{50}{31} : x = (\frac{125}{78})^{\frac{50}{31}}

x = (\frac{125}{78})^{\frac{50}{31}}

Verificar las soluciones:

x = (\frac{125}{78})^{\frac{50}{31}}

Verdadero

La solución es

x = (\frac{125}{78})^{\frac{50}{31}}

x + 1 - x = 0

3 x + 1 = 2 x - 6

3 x + 1 = 2 x + 1

4 a + 1 + 8 = 3

11 = 2 + 90 - v