Answer: To solve the equation 2x^(1/5) + 7 = 15, we'll go through the steps to isolate x.
Subtract 7 from both sides of the equation:
- 2x^(1/5) + 7 - 7 = 15 - 7
- 2x^(1/5) = 8
Divide both sides by 2:
- (2x^(1/5))/2 = 8/2
- x^(1/5) = 4
Raise both sides to the power of 5 to remove the fractional exponent:
- (x^(1/5))^5 = 4^5
- x = 1024
Therefore, the solution to the equation 2x^(1/5) + 7 = 15 is x = 1024.