Solve (4x)*x^5=54

Evaluate

4 x \times x^{5} = 54

Multiply the terms

More Steps

4 x^{6} = 54

Divide both sides

\frac{4 x ^{6}}{4} = \frac{54}{4}

Divide the numbers

x^{6} = \frac{54}{4}

Cancel out the common factor 2

x^{6} = \frac{27}{2}

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

x = \pm 6 \frac{27}{2}

Simplify the expression

More Steps

x = \pm \frac{6 864}{2}

Separate the equation into 2 possible cases

x = \frac{6 864}{2} x = - \frac{6 864}{2}

Solution

x_{1} = - \frac{6 864}{2}, x_{2} = \frac{6 864}{2}

Alternative Form

x_{1} \approx - 1.543082, x_{2} \approx 1.543082

Solve the equation