Unfortunately we can only use the logarithm laws to help us in a limited number of logarithm differentiation question types. Log a 1 0 3. Most often we need to find the derivative of a logarithm of some function of xFor example we may need to find the derivative of y 2 ln 3x 2 1.
Ln 4 log 4 log e ln 4 mathbf color purple dfrac log 4 log e ln4 logelog4.
Ln 4 log 4 log e ln 4 mathbf color purple dfrac log 4 log e ln4 logelog4. The equation for a line on a loglog scale would be. The function log b x is essentially characterized by the product formula log b x y log b x log b y. Log a a 1 4.