Solve e^2x^3=2 - ScanMath

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Type your math problem... e^2x^3=2

Question

Solve the equation

x = \frac{3 2 e}{e}

Alternative Form

x \approx 0.646865

Evaluate

e^{2} x^{3} = 2

Divide both sides

\frac{e ^{2} x ^{3}}{e ^{2}} = \frac{2}{e ^{2}}

Divide the numbers

x^{3} = \frac{2}{e ^{2}}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 \frac{2}{e ^{2}}

Calculate

x = 3 \frac{2}{e ^{2}}

Solution

More Steps

Evaluate

3 \frac{2}{e ^{2}}

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

\frac{3 2}{3 e ^{2}}

Multiply by the Conjugate

\frac{3 2 \times 3 e}{3 e ^{2} \times 3 e}

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

\frac{3 2 e}{3 e ^{2} \times 3 e}

Multiply the numbers

More Steps

Evaluate

3 e^{2} \times 3 e

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

3 e^{2} \times e

Calculate the product

3 e^{3}

Reduce the index of the radical and exponent with 3

e

\frac{3 2 e}{e}

x = \frac{3 2 e}{e}

Alternative Form

x \approx 0.646865

Show Solution

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