SOLUTION: Solve 2(5^(x-2))= 9 -5^(x-2). (Hint: First solve for 5^(x-2) Then take the log (or ln) of both sides.) Please help. I do not understand this. Thanks in advance.

Question 429093: Solve 2(5^(x-2))= 9 -5^(x-2). (Hint: First solve for 5^(x-2) Then take the log (or ln) of both sides.) Please help. I do not understand this. Thanks in advance.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
First, I will presume you know the definition and basic properties of logarithms.

We can definitely solve for by letting . Our equation becomes --> --> . Taking the log base 5 of both sides, we get

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