SOLUTION: solving the equation by steps: log(x,4)+log(x-1,3)=2

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Question 1143734: solving the equation by steps:
log(x,4)+log(x-1,3)=2

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
solving the equation by steps:
log(x,4)+log(x-1,3)=2
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Step 1: No two logs with different consecutive bases will have a sum of 2 unless the arguments are also consecutive and are equal to the respective bases.
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x = 4
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It's possible to contrive other pairs with a sum of 2.
log%284%2C2%29+%2B+log%283%2C3sqrt%283%29%29+=+2 but the arguments are not consecutive integers.