To solve the equation 4x^(7/8) - 13 = 499, we can follow these steps:
1. Add 13 to both sides of the equation to isolate the term with the variable:
4x^(7/8) = 499 + 13
4x^(7/8) = 512
2. To solve for x, divide both sides of the equation by 4:
x^(7/8) = 512 / 4
x^(7/8) = 128
3. To solve for x, raise both sides of the equation to the reciprocal of the exponent (8/7) to cancel out the exponent:
x = (128)^(8/7)
x = 128^(8/7)
4. Calculate 128^(8/7) to find the value of x:
x ≈ 218.22
Therefore, the solution to the equation 4x^(7/8) - 13 = 499 is x ≈ 218.22.
