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by Avik Roy
Thu Dec 09, 2010 6:39 pm
Forum: Number Theory
Topic: Find the number of x
Replies: 8
Views: 3338

Find the number of x

Find the number of solution of the equation $2^x=4^y=8^z$ where $x$, $y$ and $z$ are positive integers, $x$ is less than $10000$ and for every $x$ satisfying the equation, sum of digits of $x$ also belongs to the solution set of $x$