Very simple log problem - I'm missing something.

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The discussion revolves around a misunderstanding of logarithmic calculations, specifically the base used in the calculations. The user initially calculates Log(A) using base e instead of the required base 10, leading to incorrect results. It is noted that older textbooks may expect the use of log tables or slide rules for such calculations. The importance of distinguishing between natural logs (ln) and common logs (log) is emphasized. The user acknowledges the mistake and expresses gratitude for the clarification.
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A=12^(1/5)
Log(A)=(1/5)Log(12)

The next part in the book says:

Log(A)=0.2158
A=1.644

I don't know how to do this without a calculator, and with a calculator I'm getting 1.24.

I'm doing e^0.2158

Can anyone please tell me where I'm going wrong here?Note: this isn't homework, just something I've come across
 
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How old is the book? If old (pre 1980) then the expectation is that you have and use a set of log tables.

Also log(A) implies log to base 10 i.e. 10.1258.
The standard notation for logs to base e is Ln(A).
 
Your mistake is using e and not 10. Base e is used when doing stuff with natural logs ie ln() and 10 is used when doing base 10 logs.

Google can supplement a calculator if one isn't readily available.

The old fashioned way of solving log problems was to use precomputed log tables. Alternatively you could use the ll scales of a decitrig sliderule.
 
Thank you both! I figured the book was old because it was asking me to do this, but I still knew my log knowledge was off somewhere. I'll remember the base 10 thing in future. Thanks again!
 
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