Sunday, 18 August 2013

Are there any integer solutions to $2^x+1=3^y$ for $y>2$?

Are there any integer solutions to $2^x+1=3^y$ for $y>2$?

for what values of $ x $ and $ y $ the equality holds
$2^x+1=3^y$
It is quiet obvious the equality holds for $x=1,y=1$ and $x=3,y=2$. But
further I cannot find why $x$ and $y$ cannot take higher values than this
values.

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