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3.8: Common and Natural Logarithms

Difficulty Level: At Grade Created by: CK-12
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Vocabulary

TermDefinition
e e is an irrational number that is approximately equal to 2.71828. As n \rightarrow \infty, \left(1+ \frac{1}{n}\right)^n \rightarrow e.
Change of Base Formula Let b, x, and y be positive numbers, b \ne 1 and y \ne 1. Then, \log_y x=\frac{\log_b x}{\log_b y}. More specifically, \log_y x=\frac{\log x}{\log y} and \log_y x=\frac{\ln x}{\ln y}, so that expressions can be evaluated using a calculator.
Common Log A common logarithm is a log with base 10. The log is usually written without the base.
Common Logarithm A common logarithm is a log with base 10. The log is usually written without the base.
e e is an irrational number that is approximately equal to 2.71828. As n \rightarrow \infty, \left(1+ \frac{1}{n}\right)^n \rightarrow e.
Natural Log A natural logarithm is a log with base e. The natural logarithm is written as ln.
Natural Logarithm A natural logarithm is a log with base e. The natural logarithm is written as ln.
Transcendental Number A transcendental number is a number that is not the root of any rational polynomial function. Examples include e and \pi.

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Difficulty Level:
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Date Created:
Nov 01, 2012
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Mar 23, 2016
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