Question

Please help me!!! Assignment due in an hour and I'm not even 1/2 done!!!!

Answer 1

`x = -23`

General Formulas and Concepts:

Algebra II

• Exponential Rules

Explanation:

Step 1: Define

`125^(x+5) = 25^(x-4)`

Step 2: Solve for x

1. Rewrite:
   `5^(3(x+5)) = 5^(2(x-4))`
2. Define:
   `3(x+5) = 2(x-4)`
3. Distribute:
   `3x+15 = 2x-8`
4. Subtract 2x on both sides:
   `x+15 = -8`
5. Subtract 15 on both sides:
   `x = -23`