SOLUTION: 25 · 5 to the power of 9x = (1/25) to the power of 2x

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 25 · 5 to the power of 9x = (1/25) to the power of 2x       Log On


   

Question 1066522: 25 · 5 to the power of 9x =
(1/25) to the power of 2x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the caret to denote exponentiation,
5^(9x) and (1/25)^(2x)
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25%2A5%289x%29=%281%2F25%29%5E%282x%29
5%5E2%2A5%5E%289x%29=%285%5E%28-2%29%29%5E%282x%29
5%5E%289x%2B2%29=5%5E%28-4x%29
9x%2B2=-4x
13x=-2
x=-2%2F13