If `phi(x)=log_ex`, then show:
`phi(xy)=phi(x)+phi(y)`

If phi(x)=log_ex , then show: phi(x/y)=phi(x)-phi(y)

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

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

If phi(x)=log_5(log_3x) ,then phi'(e)=

If phi(x)=log_5(log_3x) ,then phi'(e)=

If phi(x)=2^(mx+1) , show that phi(a). phi(b).phi(c)=4.phi(a+b+c).

If phi(x) is a polynomial function and phi'(x)>phi(x)AA x>=1 and phi(1)=0, then phi(x)>=0AA x>=1 phi(x) =1phi(x)=0AA x>=1 (d) none of these

If phi(x) = x.sinx then lim_(x rarrpi/2)(phi(x)-phi(pi/2))/(x-pi/2) =

If phi(x)=log_(8)log_(3)x , then phi'(e ) is equal to