ABSTRACT
The laws of logarithms may be used to change problems involving products to additions, quotients to subtractions and powers to products. Calculus, logarithms to the base of 'e' are invariably used. Also, the constants A and B can be changed to functions of x, and the laws stated above are still true. In this case, using a comparatively simple function, the process of logarithmic differentiation is longer than that of applying the product rule of differentiation. However, for more complicated functions, logarithmic differentiation is usually the simplest method of differentiating the function. To differentiate a function which contains products and/or quotients and/or powers, it is often easier to firstly take logarithms to a base of e and to express the function in a different form. Functions may be made up of a mixture of products and quotients.
