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4-x-2x-find-x-




Question Number 6045 by sanusihammed last updated on 10/Jun/16
4^x  = 2x    find x
4x=2xfindx
Commented by Yozzii last updated on 10/Jun/16
4^x =2x  2^(2x) =2x  −1=−2x(2^(−2x) )  −1=−2xe^(ln2^(−2x) )   −1=−2xe^(−2xln2)   −ln2=(−2xln2)e^(−2xln2)   ⇒W(−ln2)=−2xln2  x=−((W(−ln2))/(2ln2))    (Following Prakash′s example)
4x=2x22x=2x1=2x(22x)1=2xeln22x1=2xe2xln2ln2=(2xln2)e2xln2W(ln2)=2xln2x=W(ln2)2ln2(FollowingPrakashsexample)
Answered by Yozzii last updated on 11/Jun/16
x=−((W(−ln2))/(2ln2))
x=W(ln2)2ln2

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