SOLUTION: solve the equation.... log base (1/4) (x^2+x) - Log base (1/4) (x^2-x)=-1

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Question 547029: solve the equation....
log base (1/4) (x^2+x) - Log base (1/4) (x^2-x)=-1
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




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



Definition of the logarithm function:



So:





A little algebra music, Maestro:



I leave it as an exercise for the student to verify:



or



But since 0 is not in the domain of the logarithm function, and if then , discard the extraneous root.

The solution set consists of the single element: .

John

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