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Logarithms & Laws of Logarithms

Definition of a Logarithm

Logarithms answer the question: How many of one number do we multiply to get another number?  How many 2's do we multiply to get 8?

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Watch the video to further explain logarithms and how they work!

We need to multiply three 2's to get 8. This means that the statements below are equal. = log2 8 = 3 This means that: -the number we are multiplying is the base -how often it is used in the multiplication problem is logarithm -the number we want to get is 8
There are laws of logarithms. Move the p and q bar to see how the rules are impacted as the numbers change. See the different rules below:

Watch the video to see the laws of logarithms further explained.