please answer me which is given in phohoto
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Iloveanime:
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If x^y=y^x and x=2y then
a)find (x/y)^(x/y)
b)show that y=2
c) If a^x=b^y=c^z and b=(ac)^1/2 then prove that (1/x)+(1/z)=2/y
This is the question
Answer
A)
(X/Y)^(X/Y)
=(2Y/Y)^(2Y/Y)
=2^2 = 4
B)
X^y=y^x
=>(2y)^y=y^(2y)
=> (2^y)(y^y)=y^(2y)
=>2^y=y^y
=>y=2y
a)find (x/y)^(x/y)
b)show that y=2
c) If a^x=b^y=c^z and b=(ac)^1/2 then prove that (1/x)+(1/z)=2/y
This is the question
Answer
A)
(X/Y)^(X/Y)
=(2Y/Y)^(2Y/Y)
=2^2 = 4
B)
X^y=y^x
=>(2y)^y=y^(2y)
=> (2^y)(y^y)=y^(2y)
=>2^y=y^y
=>y=2y
Thank you a lot to answer me.
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