Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.6 Modeling Data: Exponential, Logarithmic, and Quadratic Functions - Concept and Vocabulary Check - Page 474: 10

Answer

The function \[y={{\log }_{e}}x\] is usually expressed as \[y=\ln x\] and is called the natural logarithmic function.

Work Step by Step

A common logarithm is a logarithm with the base e.Algorithm is opposite to that of the exponential. The logarithm of any number to a given base is the value of the index to which the base must be raised to get the given number. Natural logarithm has a base value e which is approximately equal to 2.718.It is also an inverse of an exponential function \[{{e}^{x}}\]and it is\[\ln x={{\log }_{e}}x\].
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