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In this paper all Solutions to the equation l + χ -f y = z, where ;c, y and z are positive integers such that xyz has the form 2 r 3 s 7 r , with r, 5-and t non-negative integers, are determined. This work extends earlier work of the authors and J. L. Brenner in the field of exponential Diophantine equations.

ABSTRACT. In this paper we complete the solution to the equation tu + x + y = z, where w,z,y asid 2 are positive integers and wxyz has the form 2r3s5t with r, s and 1 non-negative integers. Here we consider the case

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