y = log (x)
Logarithmic functions are the inverse of exponential functions. Logarithmic is usually shortened to log.
Logarithmic Operation
Logarithmic functions help solve exponential equations. For example, the exponential function: bˣ = a, could be difficult to solve. To find x, we can use the log operation. By taking the log of both sides we can change this exponential function into a log function. In log form, the function becomes [tex]log_{b} (a)=x[/tex]. This is pronounced, "log-base b of a equals x." If you plug this into a calculator or use a different technique to solve, you can find x and solve the original exponential function.
Common Log and Natural Log
Although logarithmic functions can have any base, some are more frequent than others. One such base is base 10. If the base of the log is 10, then we do not write the 10, it is just implied. This log is called common log. The answer choice y = log (x) is common log. Another common base is Euler's constant, e. Log with the base of e is called natural log. Natural log is written as ln (x).
