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f^3(x)+f(x)=lnx,x>0

 

prove that f is constant at x=1

 Nov 9, 2015
 #1
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f^3(x)+f(x)=lnx,x>0

 

prove that f is constant at x=1

 

I actually do not understand the questions.  What do you mean, f is a constant at x=1 ??

 

(My play)

 

f^3(1)+f(1)=ln1

 

f^3(1)+f(1)=0

 

f(1) [f^2(x)+1]

 

f(1)=0    or    f^2(x)=-1

 

In the real number system the only solution is f(1)=0

 Nov 9, 2015

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