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`e^(x) (1+log_(e)x)`

Solve log_(e)(x-a)+log_(e)x=1.(a>0)

if log_(e)(x-1) + log_(e)(x) + log_(e)(x+1)=0 , then

If x^(y) = e^(x - y) prove that (dy)/(dx) = (log_(e)x)/((1 + log_(e)x)^(2)) .

If I=inte^(-x)log(e^x+1)dx ,t h e nIe q u a l a+(e^(-x)+1)log(e^x+1)+C a+(e^x+1)log(e^x+1)+C a-(e^(-x)+1)log(e^x+1)+C none of these

Solve : log_e (x-a) + log_e x =1 (a>0)

int frac{dx}{1+e^(-x)} =........... A) log(1+e^(-x)) + c B) log(e^x + 1)) + c C) log(1-e^(-x)) + c D) log(e^(x)) + c

lim_(xrarre) (log_(e)x-1)/(|x-e|) is

lim_(xrarre) (log_(e)x-1)/(|x-e|) is