What is the answer to -7=8-3^5sqrt(x^3) ?

The answer to -7=8-3^5sqrt(x^3) is x=(\sqrt[3]{25})/(9\sqrt[3]{9)}

Solve for x: -7=8-3^5sqrt(x^3)

The solution is x=(\sqrt[3]{25})/(9\sqrt[3]{9)}

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- 7 = 8 - 3^{5} x^{3}

Decimal Notation

x = 0.15619 \dots

Solution steps

- 7 = 8 - 3^{5} x^{3}

Expand

8 - 3^{5} x^{3} : 8 - 243 x^{3}

- 7 = 8 - 243 x^{3}

Switch sides

8 - 243 x^{3} = - 7

Move

8

to the right side

- 243 x^{3} = - 15

Divide both sides by

- 243

x^{3} = \frac{5}{81}

Square both sides:

x^{3} = \frac{25}{6561}

x^{3} = \frac{25}{6561}

Solve

Verify Solutions:

True

The solution is

x^{2} - 3 x + 2 = x - 1

3 x^{\frac{5}{2}} - 28 = 68

x + 3 = x + 11

x - 7 - 2 x = - 1

2 y + 33 + 9 = y + 8

What is the answer to -7=8-3^5sqrt(x^3) ?
The answer to -7=8-3^5sqrt(x^3) is x=(\sqrt[3]{25})/(9\sqrt[3]{9)}
Solve for x: -7=8-3^5sqrt(x^3)
The solution is x=(\sqrt[3]{25})/(9\sqrt[3]{9)}