Answer: x = 13/3
Explanation:
To solve the equation 3x + 2 = 15 for x using the change of base formula, we first isolate the variable x on one side of the equation.
1. Start with the equation: 3x + 2 = 15.
2. Subtract 2 from both sides to move the constant term to the other side: 3x = 15 - 2.
Simplifying, we get: 3x = 13.
3. Now, to solve for x, we need to divide both sides of the equation by the coefficient of x, which is 3: (3x)/3 = 13/3.
Simplifying, we get: x = 13/3.
Therefore, the solution to the equation 3x + 2 = 15 using the change of base formula is x = 13/3.
I hope this helps :)