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Problem of the Week
Problem C
Exponential Expressions

We are given two expressions:

Expression \(A\): \(72\times 7^x\)

Expression \(B\): \(441\times 2^y\)

Given that \(x\) and \(y\) are positive integers, find all ordered pairs \((x,y)\) so that the value of Expression \(A\) is equal to the value of Expression \(B\).


Themes: Algebra, Number Sense