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Difference between revisions of "Exponential function, real"

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The function <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/e/e036/e036920/e0369201.png" />, also denoted by <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/e/e036/e036920/e0369202.png" />. Sometimes the function <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/e/e036/e036920/e0369203.png" /> for any base <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/e/e036/e036920/e0369204.png" /> is also called an exponential function.
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The function $y=e^x$, also denoted by $y=\exp x$. Sometimes the function $y=a^x$ for any base $a>0$ is also called an exponential function.
  
  
  
 
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====Comments====
See also [[Exponential function|Exponential function]]; [[Exponent|Exponent]]; [[E-number|<img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/e/e036/e036920/e0369205.png" /> (number)]]. The inverse of the exponential function is the [[Logarithmic function|logarithmic function]] (cf. also [[Logarithm of a number|Logarithm of a number]]). The value of the exponential function at a point is also called the [[Antilogarithm|antilogarithm]] of this point.
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See also [[Exponential function|Exponential function]]; [[Exponent|Exponent]]; [[E-number|$e$ (number)]]. The inverse of the exponential function is the [[Logarithmic function|logarithmic function]] (cf. also [[Logarithm of a number|Logarithm of a number]]). The value of the exponential function at a point is also called the [[Antilogarithm|antilogarithm]] of this point.

Latest revision as of 22:01, 11 April 2014

The function $y=e^x$, also denoted by $y=\exp x$. Sometimes the function $y=a^x$ for any base $a>0$ is also called an exponential function.


Comments

See also Exponential function; Exponent; $e$ (number). The inverse of the exponential function is the logarithmic function (cf. also Logarithm of a number). The value of the exponential function at a point is also called the antilogarithm of this point.

How to Cite This Entry:
Exponential function, real. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Exponential_function,_real&oldid=31586
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article