Solve (e^3)*x^6=30

Evaluate

e^{3} x^{6} = 30

Divide both sides

\frac{e ^{3} x ^{6}}{e ^{3}} = \frac{30}{e ^{3}}

Divide the numbers

x^{6} = \frac{30}{e ^{3}}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 6 \frac{30}{e ^{3}}

Simplify the expression

More Steps

x = \pm \frac{6 30 e ^{3}}{e}

Separate the equation into 2 possible cases

x = \frac{6 30 e ^{3}}{e} x = - \frac{6 30 e ^{3}}{e}

Solution

x_{1} = - \frac{6 30 e ^{3}}{e}, x_{2} = \frac{6 30 e ^{3}}{e}

Alternative Form

x_{1} \approx - 1.069152, x_{2} \approx 1.069152

Solve the equation