What is the value of x if 25^2x = 625 x 125^x? Explain or show steps.


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Oddman Profile
Oddman answered
The equation you wrote has the solution found here. The only integer solution is x=0.

Maybe you want the answer to
  25^(2x) = 625*125^x We can rewrite this as
  (5^2)^(2x) = (5^4)*(5^3)^x
  5^(4x) = 5^(4+3x)    (use various rules of exponents)
Taking logs to the base 5, we have
  4x = 4+3x
  x = 4    (subtract 3x)

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