Solve for x 5x^6=30

$5 x^{6} = 30$

Step 1

Divide each term in $5 x^{6} = 30$ by $5$ and simplify.

Divide each term in $5 x^{6} = 30$ by $5$ .

$\frac{5 x^{6}}{5} = \frac{30}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x^{6}}{5} = \frac{30}{5}$

Divide $x^{6}$ by $1$ .

$x^{6} = \frac{30}{5}$

Simplify the right side.

Divide $30$ by $5$ .

$x^{6} = 6$

Step 2

Take the 6th root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt[6]{6}$

Step 3

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$x = \sqrt[6]{6}$

Next, use the negative value of the $\pm$ to find the second solution.

$x = - \sqrt[6]{6}$

The complete solution is the result of both the positive and negative portions of the solution.

$x = \sqrt[6]{6}, - \sqrt[6]{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt[6]{6}, - \sqrt[6]{6}$

Decimal Form:

$x = 1.34800615 \dots, - 1.34800615 \dots$