Find m so that (−3)m + 1×(−3)5=(−3)7.

Sure, let's solve the equation step by step.

1. First, let's simplify the right side of the equation. We know that (-3)^7 = -2187.

2. So, the equation becomes (-3)^m + (-3)^5 = -2187.

3. We also know that (-3)^5 = -243.

4. Substitute (-3)^5 with -243 in the equation, we get (-3)^m - 243 = -2187.

5. Add 243 to both sides of the equation, we get (-3)^m = -2187 + 243 = -1944.

6. Now, we need to solve for m. We know that (-3)^m = -1944.

7. To solve for m, we need to take the log base -3 on both sides of the equation.

8. So, m = log base -3 of -1944.

9. Unfortunately, the logarithm of a negative number is undefined in the real number system. Therefore, there is no real solution for m in this equation.