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

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

If log e^(x)+log e^(1+x)=0 then x=

e ^(x log a)e^(x)

If y=tan^(-1){((log)_e(e//x^2))/((log)_e(e x^2))}+tan^(-1)((3+2\ (log)_e x)/(1-6\ (log)_e x)) , then (d^2y)/(dx^2)= (a) 2 (b) 1 (c) 0 (d) -1

Evaluate: int(e^(5\ (log)_e x)-e^(4\ (log)_e x))/(e^(3\ (log)_e x)-e^(2\ (log)_e x))\ dx

If y = e^(log (log x ))log3 x,then (dy)/(dx)

Evaluate: int(e^(6\ (log)_e x)-e^(5\ (log)_e x))/(e^(4\ (log)_e x)-e^(3\ (log)_e x))\ dx