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Grade 12Algebra

x^y^x^y^x^y..... = y^x^y^x^y^x...... (^ means to the power) . then x,y can take which values?(i mean what are possible values of x&y)

Profile image of Harshith Pvs
9 Years agoGrade 12
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1 Answer

Profile image of Vikas TU
9 Years ago
From the series, x^y^x^y^x^y..... => can be written =>as,
(x^y)^m = m
From the series,  y^x^y^x^y^x...... => can be written as:
(y^x)^n = n
m = n given therefore,
(x^y)^m = (y^x)^m
o
x^y = y^x
take log both sides,
ylogx = xlogy
y/x = logy/logx
Hence for all x= y values it would be satiffies accept x and y should be non – zero.

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