1.02^20000
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1.02^20000
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Jacobbus


Member


Joined: 20 Aug 2005
Posts: 106
Posted: 27 Feb 2006 11:34:36 am    Post subject:
Can you calculate 1.02^20000 on your calc?
I have cabamap but can't enter a "." or ",".
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Brazucs
I have no idea what my avatar is.


Super Elite (Last Title)


Joined: 31 Mar 2004
Posts: 3349
Posted: 27 Feb 2006 11:58:02 am    Post subject:
1.007941 x 10^172
http://www.coolmath.com/graphit/index.html
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Raster


Active Member


Joined: 17 May 2004
Posts: 529
Posted: 28 Feb 2006 01:33:18 pm    Post subject:
My TI-89Ti can Smile and got exactly what Brazucs got.
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DarkerLine
ceci n'est pas une |


Super Elite (Last Title)


Joined: 04 Nov 2003
Posts: 8328
Posted: 28 Feb 2006 05:45:25 pm    Post subject:
On the 83+, you cheat:

X = 1.02^20000
log(X) = 20000 * log(1.02)

If you put the RHS of the last equation into the calculator, you'll get approximately 172.003435238. This means that X = Y * 10^172 where 1<Y<10.

log(X) = 172 + log(Y) = 20000*log(1.02)

log(Y) = 20000*log(1.02) - 172

[KA-calculator!]

log(Y) = 0.00343523835

Y = 10^0.00343523835 = 1.00794129475

Therefore X = 1.00794129475 * 10^172

Note: by log() I mean the base 10 log, equivalent to the log( function on the 83+.

In general, to calculate A^B to a high power, you can use the formula


Code:
10^(fPart(Blog(A -> mantissa
int(Blog(A -> exponent


Last edited by Guest on 28 Feb 2006 05:47:11 pm; edited 1 time in total
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