Solution-Whatnbsp aboutnbsp exponentiation find all

Whatnbsp aboutnbsp exponentiation find all solutions in

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Reference no: EM13588357

Addition of real numbers is associative: (a + b) + c = a + (b + c). So is multiplication: (ab)c = a(bc). But not every operation is associative.

a) Subtraction is not associative; in general (a - b) - c = a - (b - c). When is it associative?

That is find all solutions to (a - b) - c = a - (b - c).

b) Find all solutions to (a/b)/c = a/(b/c).

c) What about exponentiation? Find all solutions in positive real numbers to (a∧b)∧c =a∧(b∧c). If stuck, Consider more restricted questions, such as what are all the solutions to this equation if a, b, c are positive integers .

Reference no: EM13588357

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Whatnbsp aboutnbsp exponentiation find all solutions in

Reference no: EM13588357

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