Logarithmic form

Logarithmic form is the representation of a formula in terms of Logarithmic function. It is just the opposite of exponential form. It can varies from the simpliest case of rewriting a mathematical formula, to the conversion of complex exponential functions into logarithmic forms. In short:

if the exponential form is: $b^{x}==y$, then

the logarithmic form is: $x=={logy} \over {logb}$

The logarithmic form is useful when we need to solve a problem in a particular way, or we need to write our answer in a elegant way. For example, the general formula of the integration result of $\int {du} \over {u}$ is |log u| + C.

External Links

• The logarithmic form for inverse hyperbolics
• Ngee Ann Polytechnic: Methods of Integration: The Basic Logarithm Form