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12 Mar 2013 This lesson explains the inverse properties of a logarithmic function. By the definition of a logarithm, it is the inverse of an exponent. This lesson explains the inverse properties of a logarithmic function. They are "Inverse Functions". Doing one Example: Calculate y in y=log4(1/4) Using that property and the Laws of Exponents we get these useful properties: It is opposite to logarithm. Inverse logarithm is also known as antilogarithm and is abbreviated as antilog. In above example - log10100 = 2, then antilog10 (2) = 17 Oct 2011 Example 3 – Using Properties of Logarithms. Write each ay if and only if x = y. log a x = log a y if and only if x = y. Inverse Properties alog a x = x log a ax = x Finding the inverse of a log function is as easy as following the suggested steps below. You will realize later after seeing some examples that most of the work Inverse properties: log10x = x. ln ex = x. Do not confuse log with ln. log ex x. and. ln 10x x ,. More inverses (the functions undo each other). For example. ( )2 = x. The properties of logarithms are very similar to the properties of exponents because . For example, the logarithm of 32 base 2 is 5 and the fifth power of 2 We can state the inverse relationship between exponential and logarithm functions.
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