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Difference between revisions of "Antilogarithm"

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''of a number <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012700/a0127001.png" />''
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''of a number $n$''
  
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The number <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012700/a0127002.png" />, denoted by <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012700/a0127003.png" />, the logarithm of which to the base <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012700/a0127004.png" /> is equal to <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012700/a0127005.png" />. Thus,
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The number $N$, denoted by $\operatorname{ant\,log}_a n$, the logarithm of which to the base $a$ is equal to $n$. Thus,
  
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<table class="eq" style="width:100%;"> <tr><td valign="top" style="width:94%;text-align:center;"><img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012700/a0127006.png" /></td> </tr></table>
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$$\operatorname{ant\,log}_a n=N=a^n,$$
  
 
or
 
or
  
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<table class="eq" style="width:100%;"> <tr><td valign="top" style="width:94%;text-align:center;"><img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012700/a0127007.png" /></td> </tr></table>
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$$\log_a N=n.$$
  
 
Antilogarithms are also called inverse logarithms.
 
Antilogarithms are also called inverse logarithms.

Latest revision as of 06:20, 2 April 2017

of a number $n$

The number $N$, denoted by $\operatorname{ant\,log}_a n$, the logarithm of which to the base $a$ is equal to $n$. Thus,

$$\operatorname{ant\,log}_a n=N=a^n,$$

or

$$\log_a N=n.$$

Antilogarithms are also called inverse logarithms.

How to Cite This Entry:
Antilogarithm. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Antilogarithm&oldid=11461
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