What is the answer to 30=0.38*h^{1.58} ?

The answer to 30=0.38*h^{1.58} is h=(1500/19)^{50/79}

Solve for h: 30=0.38*h^{1.58}

The solution is h=(1500/19)^{50/79}

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30 = 0.38 \cdot h^{1.58}

h = (\frac{1500}{19})^{\frac{50}{79}}

Decimal Notation

h = 15.87985 \dots

Solution steps

30 = 0.38 h^{1.58}

Switch sides

0.38 h^{1.58} = 30

Multiply both sides by

100

38 h^{1.58} = 3000

Divide both sides by

38

h^{1.58} = \frac{1500}{19}

Take both sides of the equation to the power of

\frac{50}{79} : h = (\frac{1500}{19})^{\frac{50}{79}}

h = (\frac{1500}{19})^{\frac{50}{79}}

Verify Solutions:

h = (\frac{1500}{19})^{\frac{50}{79}}

True

The solution is

h = (\frac{1500}{19})^{\frac{50}{79}}

4 x + 5 = - \frac{2}{15} + 7

x = x - 7 + 1

6 = - 2^{2} - x^{2}

3 x^{\frac{2}{3}} - 4 x = 8

355 = 1643 N^{- 0.0977}

What is the answer to 30=0.38*h^{1.58} ?
The answer to 30=0.38*h^{1.58} is h=(1500/19)^{50/79}
Solve for h: 30=0.38*h^{1.58}
The solution is h=(1500/19)^{50/79}