Solve h(8)=3x^5 - ScanMath

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Type your math problem... h(8)=3x^5

Question

Solve the equation

Solve for x

Solve for h

x = \frac{5 648 h}{3}

Evaluate

h \times 8 = 3 x^{5}

Use the commutative property to reorder the terms

8 h = 3 x^{5}

Swap the sides of the equation

3 x^{5} = 8 h

Divide both sides

\frac{3 x ^{5}}{3} = \frac{8 h}{3}

Divide the numbers

x^{5} = \frac{8 h}{3}

Take the 5 -th root on both sides of the equation

5 x^{5} = 5 \frac{8 h}{3}

Calculate

x = 5 \frac{8 h}{3}

Solution

More Steps

Evaluate

5 \frac{8 h}{3}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{5 8 h}{5 3}

Multiply by the Conjugate

\frac{5 8 h \times 5 3 ^{4}}{5 3 \times 5 3 ^{4}}

Calculate

\frac{5 8 h \times 5 3 ^{4}}{3}

Calculate

More Steps

Evaluate

5 8 h \times 5 3^{4}

The product of roots with the same index is equal to the root of the product

5 8 h \times 3^{4}

Calculate the product

5 648 h

\frac{5 648 h}{3}

x = \frac{5 648 h}{3}

Show Solution

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