College Math

It should be noted that for all values of , (1) = 0 . Moreover, the value of ( ) will always be positive and greater than 0. The shape of the above graph becomes inverse (positive side only) whenever the values of a lies between 0 and 1. The properties of logarithms are as follows: 1. = + 2. ln � � = ln − 3. = . 4. = 5. = 1 6. 1 = 0 Relationship between Logarithm and Exponential Functions The relation between log and exponential functions can be explained by looking at their graphs:

The log function is given by ( ) = ln and the exponential function is given by ( ) = . It should be noted that the logarithm function is the reflection of the exponential function over the line = . Hence, logarithm function is the inverse of exponential function.

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