Question

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

Answer 1

Answer:

$x = -23$

General Formulas and Concepts:

Algebra II

• Exponential Rules

Step-by-step 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:          $x = -23$