Final answer:
To solve the equation 2(X+6)^(3/5)+3=19, isolate the variable X by subtracting 3, dividing by 2, raising to the power of 5/3, and simplifying. The solution is X = 11.
Step-by-step explanation:
To solve the equation 2(X+6)3/5+3=19, we need to isolate the variable X. Here are the steps to solve:
- Subtract 3 from both sides of the equation: 2(X+6)3/5 = 16.
- Divide both sides of the equation by 2: (X+6)3/5 = 8.
- Raise both sides of the equation to the power of 5/3: (X+6) = 85/3.
- Subtract 6 from both sides of the equation: X = 85/3 - 6.
- Simplify the right side of the equation: X = 11.
Therefore, the solution to the equation is X = 11.