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Just P&P (Posted on 2011-01-23) Difficulty: 3 of 5
No calculator, no tables-
Please evaluate lg 7 within .01.

Rem: lg 7 is a decimal (by base 10) logarithm of 7.

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

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Some Thoughts A different digression (and spoiler) | Comment 3 of 6 |
Did you know that 30% of all numbers have 1 as their first significant digit?  This is true of all physical constants, and of all dollar amounts, and populations, and areas, etc.  It is arguably true of all natural numbers, also.  And it happens because the log 2 is approximately .30.  Which is why I know the log 2.

Anyhow, log 50 = log 100 - log 2 = 2 - .3 (approximately) = 1.7

And log 49 = log 50 (approximately) = 1.7

And log 7 = log 49 / 2 = .85 approximately


Edited on January 23, 2011, 2:41 pm
  Posted by Steve Herman on 2011-01-23 14:40:46

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