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e.g. Write the following in a form using logarithms: (b) e.g. Write the following without using logarithms: Solution: (a) Solution:

Simplifying Logs e.g. 2. Simplify (a) (b) (b) Solution: (a)

There are 2 special cases we can get directly from the definition of a log. Let x = 0, 2 useful results So, By the law of indices, for all values of the base

Let b = a, x = 1 Then So,

Three Laws of Logarithms The Definition of a Logarithm SUMMARY