List of top Mathematics Questions on Logarithmic Differentiation asked in WBJEE

If y=logⁿx, where logⁿ means log_e log_e log_e .....(repeated n times), then xlogx log²x log³x....log ^n-1 xlogⁿx \(\frac{dy}{dx}\) is equal to :

The general value of the real angle $\theta$, which satisfies the equation, (cos$\theta$ + i sin$\theta$) (cos2$\theta$ + i sin2$\theta$)........ (cosn$\theta$ + i sinn$\theta$) = 1 is given by, (assuming k is an integer)

If $\log _{0.2}(x-1)>\log _{0.04}(x+5)$, then

If $\log_{7} \,2 = ?$, then the value of $\log_{49}\, \left(28\right)$ is