SOLUTION: I need step-by-step to solve this equation: 4^(1-x)=3^(2x-5)

Question 922516: I need step-by-step to solve this equation:
4^(1-x)=3^(2x-5)
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
4^(1-x)=3^2x-5
-----------
(1-x)*log(4) = (2x-5)*log(3)
Can you do the rest?
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

We take the log of both sides:

There is a rule of logarithms that allows us to move an exponent
in front as a multiplier of the log:

To make things easier let log(4)=A and log(3)=B

Divide both sides of the equation by (2B+A)

Now replace A and B by the logs they represent:

With a calculator we get
1.919720789 = x
Edwin
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