Math Arguments

Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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Item 158

Exponential Fun

If a and b are both positive integers, \(a^{a - b}=10^6\),
list all possible ordered pairs (a,b).

What are a couple of different ways to approach this nugget?

What are the "obvious" answers that everyone will miss?

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Raw Pure Math
David Marain
ALG2

Source: David Marain

If a,b pos int's, a^(a-b)=10^6, list all possible ordered pairs (a,b)? Ans:(10,4); (100,97); (1000,998); (1000000,999999) ~ David Marain (@dmarain) January 3, 2015

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