![]() ![]() Research/scholarship website, on January 17, 2014.Ĭrux Mathematicorum is a problem solving journal published by the Canadian Mathematical Society. This work was first published in the open access This work is 18 legibly and neatly handwritten pages long. Three different families of solutions to equation (5) listed in Theorem5. This is done in Theorems2,3, and4 respectively. ![]() We completely determine the positive integer solution sets of equations (2), This work we investigate for more 3-variable exponential diophantine equations: Integers the triples (a,b,1) a, b positive integers, with a being at least 2 Īnd the triples of the form (a,2,2) a being a positive integer not equal toġ.These are then the positive integer solutions to the 3-variable exponentialĭiophantine equation, x^(y^z)=x^(yz) (1) Motivated by mayhem problem M429, in ![]() Accordingly, all such positive integer triplesĪre the following:The triples of the form (1,b,c) with b, c any positive A solution by this author was published in the December2010 Integers a,b, and c such that a^(b^c)=(a^b)^c or equivalently,Ī^(b^c)=a^(b^c). Reference) ,the following problem was proposed:Determine all positive Published by the Canadian Mathematical Society. Crux Mathematicorum with Mathematical Mayhem, is a problem solving journal ![]()
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