SOLUTION: Solve for x. 125^(4-7x) = 5^(x^2-22x-18) If there is more than one solution, I need to separate them with commas.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve for x. 125^(4-7x) = 5^(x^2-22x-18) If there is more than one solution, I need to separate them with commas.      Log On


   

Question 984553: Solve for x.
125^(4-7x) = 5^(x^2-22x-18)
If there is more than one solution, I need to separate them with commas.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
125=5%5E3

%285%5E3%29%5E%284-7x%29=5%5E%28x%5E2-22x-18%29

5%5E%2812-21x%29=5%5E%28x%5E2-22x-18%29

Same base, equal exponents


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x=-5 or x=6