Answer:
C
Explanation:
To find the value of x in the equation 5^(x+2) = 5^9, we can follow these steps:
1. We know that when two exponential expressions with the same base are equal, their exponents must be equal as well.
2. In this case, we have 5^(x+2) = 5^9. To solve for x, we equate the exponents.
3. By equating the exponents, we can write the equation as x + 2 = 9.
4. To isolate x, we subtract 2 from both sides of the equation: x = 9 - 2.
5. Simplifying the equation gives us x = 7.
6. Therefore, the value of x that satisfies the equation is x = 7.
In summary, the answer is C. x = 7.