જો ${x^y} = {y^x},$ તો ${(x/y)^{(x/y)}} = {x^{(x/y) - k}},$ કે જ્યાં $k = . . . . $
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b
(b) \({x^y} = {y^x} \Rightarrow {({x^y})^{1/x}} = y\)
(b) \({x^y} = {y^x} \Rightarrow {({x^y})^{1/x}} = y\)
Now, \({\left( {{x \over y}} \right)^{x/y}} = {\left( {{x \over {{x^{y/x}}}}} \right)^{x/y}} = {\left( {{x^{1\, - \,{y \over x}}}} \right)^{x/y}}\)
\(={x^{(x/y) - 1}} = {x^{(x/y) - k}} \Rightarrow k = 1\).
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