If `log_ex + log_ex=3` then `(ln^2x+ln_x^2 e)` is

If log_(e)x+log_(x)e=3 then (ln^(2)x+ln_(x)^(2)e) is

If f(x)=log_x(log_ex) then f'(e) =________

If phi(x)=log_ex , then show: phi(e^x)=x

The differential coefficient of f(log_ex) with respect to x, where f(x)=log_ex , is :

If y=tan^(-1)((log((e)/(x^(2))))/(log(ex^(2))))+tan^(-1)((3+2log x)/(1-6log x)) then (d^(2)y)/(dx^(2)) is (a) 2(b)1(c)0(d)-1

If f(x)=tan^(-1)[(log((e )/(x^(2))))/(log (ex^(2)))]+tan^(-1)[(3+2 log x)/(1-6 log x)] then the value of f''(x) is