Solve e^2x^5 = 4 - ScanMath

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Type your math problem... e^2x^5 = 4

Question

Solve the equation

x = \frac{5 4 e ^{3}}{e}

Alternative Form

x \approx 0.884493

Evaluate

e^{2} x^{5} = 4

Divide both sides

\frac{e ^{2} x ^{5}}{e ^{2}} = \frac{4}{e ^{2}}

Divide the numbers

x^{5} = \frac{4}{e ^{2}}

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

5 x^{5} = 5 \frac{4}{e ^{2}}

Calculate

x = 5 \frac{4}{e ^{2}}

Solution

More Steps

Evaluate

5 \frac{4}{e ^{2}}

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

\frac{5 4}{5 e ^{2}}

Multiply by the Conjugate

\frac{5 4 \times 5 e ^{3}}{5 e ^{2} \times 5 e ^{3}}

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

\frac{5 4 e ^{3}}{5 e ^{2} \times 5 e ^{3}}

Multiply the numbers

More Steps

Evaluate

5 e^{2} \times 5 e^{3}

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

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

Calculate the product

5 e^{5}

Reduce the index of the radical and exponent with 5

e

\frac{5 4 e ^{3}}{e}

x = \frac{5 4 e ^{3}}{e}

Alternative Form

x \approx 0.884493

Show Solution