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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: how to find log values
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ganesha1991 (1453)

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hot find the values of log without using a log book

for ex - log 3 , log 3/4 , log 4/5, log 22/33
    
Shesha (95)

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i wanted to know that tooo..

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ananth_patri (585)

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jjust rememnber....log3 base 10 is 0.47 and log2 base 10 is 0.3 and log5 base 10 is 0.7...well log3/4 is log3-log4 and all tht log prop...and also log2 base e is 0.693 as we know tht loga base e =2.303loga base 10 hope u got it...rate if usefull....

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joyfrancis (1504)

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learn the values for log2,log3 rest can be derived.

log2 = 0.3010
log3 = 0.4771


log(3/4) = log3 - log4 = log3 - 2log2

log(4/5) = 2log2 - log5 ..now log5 would be somewhere around the "mean" of log 4 and log6..and log4 = 2log2 and log6 = log2 + log3..

log(22/23) = log22 - log23..
= log2 + log11 - log23..

log11 would be close to the "mean" of log 10 and log12 and log 23 would be the mean of log 22 and log24..

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ananth_patri (585)

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@ joyfrancis ,....perfect....

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ananth_patri (585)

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actually those log 2 ..3 ..5 are imp for chemistry....ionic equilib ...and all those chapters...

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Shesha (95)

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@ganesha jawab...millgaya!!!???

Here I am this is ME!!...and there's no where else on earth I'd rather be!!!!!!
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ganesha1991 (1453)

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ok what if the numbers r large
and r prime numbers

something like log 43/23
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newarnav (216)

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learn these three
log2(=0.3010
log3(0.4771
log7(0.8450
 
rest comes easily
4=2~2==>log 4=2log 2=.6020
5=10/2==>log5=1-log2= .6989
6=2*3
etc
 
now for higher numbers and fraction(like 22/33 which is=2/3)
write down in decimal form up to two places
or better in form of a+p/q
iff a>>p/q ignore p/q
let us take an example:
{example pending }{will post soon}
eg 102/101 =1.009 etc than use praportianal approximation

My name is Arnav.
Hoping we'll meet in IIT next year !
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ananth_patri (585)

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oh!!! u want abt log43/23 ???well now u ll have to use a log book.....i dont think any ques paper will ask such type of values....they wont test our knowledge and memory from log tables...rite?????

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ananth_patri (585)

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may be u can do it tht way log43/23 as log40/20 which is log2 ....but tht wont give xaxct value...
 
//cheers//

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