Logarithms
As we know from Special functions -section, logarithmic functions are inverse of exponential functions. Thus
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Logarithmic functions are defined only with positive real numbers () but the solution can be any real number (). All logarithmic functions go through the point (1, 0). From the definition, we can easily see some basic properties of logarithmic:
Logarithms are sometimes thought to be difficult concept. In fact, they are very easy, if you read them correctly. For example, is read: to which power should the a be raised to get x.
Commonly used symbol for logarithmic of base e is ln and for logarithmic of base 10 is lg . These symbols are used during the lessons. Check your own calculator, how they are denoted there. There are also differences among mathematical programs, so check the correct syntax from a manual.
Example 1.