What is the answer to 5=(100x^{0.25})(x+300)^{-0.25} ?

The answer to 5=(100x^{0.25})(x+300)^{-0.25} is x= 100/53333

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5=(100x^{0.25})(x+300)^{-0.25}

5 = (100 x^{0.25}) (x + 300)^{- 0.25}

x = \frac{100}{53333}

Decimal Notation

x = 0.00187 \dots

Solution steps

5 = (100 x^{0.25}) (x + 300)^{- 0.25}

Expand

100 x^{0.25} (x + 300)^{- 0.25} : \frac{100 x ^{0.25}}{( x + 300 ) ^{0.25}}

5 = \frac{100 x ^{0.25}}{( x + 300 ) ^{0.25}}

Take both sides of the equation to the power of

4 : 625 = \frac{100000000 x}{x + 300}

625 = \frac{100000000 x}{x + 300}

Solve

625 = \frac{100000000 x}{x + 300} : x = \frac{100}{53333}

x = \frac{100}{53333}

Verify Solutions:

x = \frac{100}{53333}

True

The solution is

x = \frac{100}{53333}

x^{- \frac{6}{8}} = 0.001

- \frac{1}{2 x} = 0

10 x + 5 = 5 x - 10

2 (x + 5)^{\frac{2}{3}} = 18

m - 9 = 39 - 2 m

What is the answer to 5=(100x^{0.25})(x+300)^{-0.25} ?
The answer to 5=(100x^{0.25})(x+300)^{-0.25} is x= 100/53333
Solve for x: 5=(100x^{0.25})(x+300)^{-0.25}
The solution is x= 100/53333