What is the answer to 0.376=1-1/(x^{0.62)} ?

The answer to 0.376=1-1/(x^{0.62)} is x=(125/78)^{50/31}

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

The solution is x=(125/78)^{50/31}

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

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

Decimal Notation

x = 2.13967 \dots

Solution steps

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

Multiply both sides by

x^{0.62}

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

Simplify

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

Multiply both sides by

1000

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

Move

1000 x^{0.62}

to the left side

- 624 x^{0.62} = - 1000

Divide both sides by

- 624

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

Take both sides of the equation to the power of

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

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

Verify Solutions:

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

True

The solution is

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

What is the answer to 0.376=1-1/(x^{0.62)} ?
The answer to 0.376=1-1/(x^{0.62)} is x=(125/78)^{50/31}
Solve for x: 0.376=1-1/(x^{0.62)}
The solution is x=(125/78)^{50/31}