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Common logarithms

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Integrated Mathematics III
16. CC.HSF.BF.B.5
16.6 Common logarithms

Common Logarithms (Log Base 10)

A clear guide to common logarithms, the base 10 logarithm written as log x, with rules, examples, and a graph you can study step by step.


What You'll Learn

A common logarithm is a logarithm with base 10, usually written as log x instead of log base 10 x
Common logs answer the question: 10 raised to what power gives x
Values like log 10, log 100, and log 1000 are easy to find because they are whole-number powers of 10
A calculator's LOG button always computes the common logarithm unless you specify a different base
The graph of y = log x passes through (1, 0) and has a vertical asymptote at x = 0

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