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Find-the-solution-xa-1-x-1-x-a-x-2a-a-1-0-1-and-also-find-when-a-is-not-given-




Question Number 101243 by Dwaipayan Shikari last updated on 01/Jul/20
Find the solution     xa^(1/x) +(1/x)a^x =2a   a∈{−1,0,1}   and also find when a  is not given
Findthesolutionxa1x+1xax=2aa{1,0,1}andalsofindwhenaisnotgiven
Commented by mr W last updated on 01/Jul/20
for a>0:  x=1 is the only solution.
fora>0:x=1istheonlysolution.
Commented by mr W last updated on 01/Jul/20
a=−1:  x(−1)^(1/x) +(((−1)^x )/x)=−2  ⇒x=1    a=0:  ⇒x∈R−{0}    a=1:  x+(1/x)=2  ⇒x=1
a=1:x(1)1x+(1)xx=2x=1a=0:xR{0}a=1:x+1x=2x=1
Commented by Dwaipayan Shikari last updated on 01/Jul/20
You are right sir. Can you find when a is not given
Youarerightsir.Canyoufindwhenaisnotgiven

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