Question 1143734
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(4,2) + log(3,3sqrt(3)) = 2}}} but the arguments are not consecutive integers.