SOLUTION: if 2^a=3^b=12^c then what is 1/c-1/b-2/a?

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Question 457998: if 2^a=3^b=12^c
then what is 1/c-1/b-2/a?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
From the given, 2%5Ea+=+12%5Ec ==> a*ln2 = c*ln12 ==> c+=+%28aln2%29%2Fln12.
Also, from 3%5Eb+=+12%5Ec ==> b*ln3 = c*ln12 ==> b%2Aln3+=+%28%28aln2%29%2Fln12%29%2Aln12 ==> b+=+%28aln2%29%2Fln3
Then