Calculating 3^0.2 without using a calculator?

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Calculating 3^0.2 without a calculator involves understanding logarithms and irrational numbers. The discussion highlights that while integer exponents can be expressed as products, fractional exponents like 3^0.2 cannot be represented in a similar manner using integers. Methods such as using logarithm tables or Newton's method are suggested for approximating the value. The conversation also touches on the historical use of logarithm tables and the efficiency of various numerical methods for finding roots. Ultimately, while calculators provide quick answers, manual methods require a deeper understanding of mathematical concepts.
  • #31
BobG said:
You're killing me, here. :smile:

I swear. People born after the invention of the electronic calculator have no appreciation for art.

Did you make your last assertion wrt to me??Learn that before putting my hand on a 'scientific' calculator (the one with radicals,trig.functions and logarithms),i worked both with a slide rule and with logarithm tables.I want to say that i found it more "challanging" working with the logarithm tables rather than slide rule,which is in fact some sort of calculator too...You don't make that calculation,the slide rule does.

Daniel.

PS.Actually,all the calculations are being made by the ones who computed the first logarithm tables.We're just taking advantage of their work...
 
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  • #32
dextercioby said:
Did you make your last assertion wrt to me??Learn that before putting my hand on a 'scientific' calculator (the one with radicals,trig.functions and logarithms),i worked both with a slide rule and with logarithm tables.I want to say that i found it more "challanging" working with the logarithm tables rather than slide rule,which is in fact some sort of calculator too...You don't make that calculation,the slide rule does.

Daniel.

PS.Actually,all the calculations are being made by the ones who computed the first logarithm tables.We're just taking advantage of their work...
I'm just kidding with you.

I just like slide rules, probably as much (if not more) for aesthetic reasons as for function (bamboo just has such a nice feel to it, you get a satisfaction beyond just an answer). Plus, a lot of them have a sense of history to them. And, considering the condition of a lot of the slide rules you come across, they give you something to tinker with to restore them to back to perfect operating condition (although, a couple seem frustratingly beyond restoration to mere functionality - gouges and warping can be pretty hard to undo).
 
  • #33
If I had these pieces of equipment I would try to use them but all I have is my scientific calculator.

The Bob (2004 ©)
 

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