perplexus.info :: Just Math : An Atypical Evaluation

An Atypical Evaluation (Posted on 2006-08-13)

Determine all possible positive integers x and y such that 3^x-2^y=17.

See The Solution Submitted by K Sengupta

Rating: 4.0000 (2 votes)

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Analytical solution

| Comment 3 of 6 |

Step 1: 3^x/3^x - 2^y/3^x = 17/3^x

Step 2: Then a miracle happens.

Step 3: x-4 = 0
y-6 = 0

Step 4: x=4 and y=6

Posted by Hugo on 2006-08-14 11:01:45

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