if-x-x-y-y-z-z-x-y-y-z-z-x-x-z-y-x-z-y-such-that-x-y-and-z-are-positive-intigers-greater-than-1-what-is-the-value-of-xyz-and-x-y-z-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 84393 by agniv123 last updated on 12/Mar/20

if x^x .y^y .z^z =x^y .y^z .z^x =x^z .y^x .z^y such that x, y and z are positive intigers greater than 1 ,what is the value of xyz and x+y+z ?

$${if}\:{x}^{{x}} .{y}^{{y}} .{z}^{{z}} ={x}^{{y}} .{y}^{{z}} .{z}^{{x}} ={x}^{{z}} .{y}^{{x}} .{z}^{{y}} \:{such}\:{that}\:{x},\:{y}\:{and}\:{z}\: \\ $$$${are}\:{positive}\:{intigers}\:{greater}\:{than}\:\mathrm{1} \\ $$$$,{what}\:{is}\:{the}\:{value}\:{of}\:{xyz}\:{and}\:{x}+{y}+{z}\:? \\ $$

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if-x-x-y-y-z-z-x-y-y-z-z-x-x-z-y-x-z-y-such-that-x-y-and-z-are-positive-intigers-greater-than-1-what-is-the-value-of-xyz-and-x-y-z-

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