Solve (x^(7/8))-4

Evaluate

(x^{\frac{7}{8}}) - 4

To find the roots of the expression,set the expression equal to 0

(x^{\frac{7}{8}}) - 4 = 0

Find the domain

(x^{\frac{7}{8}}) - 4 = 0, x \geq 0

Calculate

(x^{\frac{7}{8}}) - 4 = 0

Calculate

x^{\frac{7}{8}} - 4 = 0

Move the constant to the right-hand side and change its sign

x^{\frac{7}{8}} = 0 + 4

Removing 0 doesn't change the value,so remove it from the expression

x^{\frac{7}{8}} = 4

Raise both sides of the equation to the reciprocal of the exponent

(x^{\frac{7}{8}})^{\frac{8}{7}} = 4^{\frac{8}{7}}

Evaluate the power

x = 4^{\frac{8}{7}}

Calculate

More Steps

x = 474

Check if the solution is in the defined range

x = 474, x \geq 0

Solution

x = 474

Alternative Form

x \approx 4.876055

Simplify the expression