Please Note: This article is written for users of the following Microsoft Excel versions: 2007, 2010, 2013, 2016, 2019, 2021, and Excel in Microsoft 365. If you are using an earlier version (Excel 2003 or earlier), this tip may not work for you. For a version of this tip written specifically for earlier versions of Excel, click here: Deriving Antilogs.

Deriving Antilogs

Written by Allen Wyatt (last updated December 10, 2022)
This tip applies to Excel 2007, 2010, 2013, 2016, 2019, 2021, and Excel in Microsoft 365


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Excel allows you to use quite a few different trigonometric functions in your worksheets. If you are big into trig, you may wonder why there are no functions that derive antilogs.

An antilog in Excel is technically defined as the inverse of the LOG10 function. The LOG10 function means the logarithm in base 10 of a number. Given that definition, the antilog, or inverse log, of any number is simply 10 raised to that number. For instance, the base-10 log of 4 is 0.60206, and the base-10 antilog of 4 is 10,000 (10 raised to the fourth power). This also means that the base-10 antilog of the base-10 log of 4 is, again, 4. (Raising 10 to the 0.60206 power is 4.)

The following table shows how you would derive the antilogs of the different log functions within Excel.

Base Number Log Antilog (Power)
x y =LOG(x,y) =x^y
e y =LN(y) =e^y
10 y =LOG10(y) =10^y

ExcelTips is your source for cost-effective Microsoft Excel training. This tip (12486) applies to Microsoft Excel 2007, 2010, 2013, 2016, 2019, 2021, and Excel in Microsoft 365. You can find a version of this tip for the older menu interface of Excel here: Deriving Antilogs.

Author Bio

Allen Wyatt

With more than 50 non-fiction books and numerous magazine articles to his credit, Allen Wyatt is an internationally recognized author. He is president of Sharon Parq Associates, a computer and publishing services company. ...

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Comments

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What is 5 + 7?

2022-12-10 06:42:11

Mike J

Re my last post, Now I've got it wrong

Line 1 should be

x y z =LOG(y,x) =x^z

The spacing looked fine when I posted it. This site does sometimes mess up formatting.


2022-12-10 05:43:13

Mike J

I think the first example should be =log(y,x)

Showing e^y can be calculated by =exp(y) would have been helpful too.

Base   Number   Log   Antilog (Power)
x y   z =LOG(y,x)   =y^z
e y z =LN(y)   =e^z or =exp(z)
10 y z =LOG10(y)   =10^z

Is less confusing.


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