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anemone
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MHB
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Find all positive integers $(a,\,b,\,c)$ such that $ab-c,\,bc-a,\,ca-b$ are all powers of 2.
"Solving for $(a,\,b,\,c)$ with Powers of 2" is a mathematical concept that involves finding the values of the variables $a$, $b$, and $c$ in an equation that contains powers of 2.
Solving for $(a,\,b,\,c)$ with Powers of 2 is important because it allows us to simplify complex equations and make them easier to understand and work with.
Some common strategies for solving for $(a,\,b,\,c)$ with Powers of 2 include factoring, using logarithms, and using the laws of exponents.
Solving for $(a,\,b,\,c)$ with Powers of 2 is used in various fields such as computer science, physics, and finance. For example, it is used in computer algorithms and in calculating compound interest.
While solving for $(a,\,b,\,c)$ with Powers of 2 can be useful, it is not always applicable to every equation or problem. Some equations may require different methods of solving, and there may be cases where solving for $(a,\,b,\,c)$ with Powers of 2 is not possible.