SOLUTION: Solve the exponential equation. 4^(x-1)=3^(2x)

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Question 434696: Solve the exponential equation.
4^(x-1)=3^(2x)

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




First note: so:



Take the log of both sides (any base, it doesn't matter)



Use the laws of logs:



Distribute and collect like terms:



Factor out the x



The difference of the logs is the log of the quotient:



Solve for x:



Which is the exact simplifed answer, or you can use your calculator to get a numeric approximation to whatever precision is appropriate to your application.

John

My calculator said it, I believe it, that settles it
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