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June 26th, 2018, 03:40 AM  #1 
Newbie Joined: Jul 2016 From: pakistan Posts: 18 Thanks: 0  How to find logarithm of a number having negative characteristic.
Hi, can anybody help me find logarithm of a number having negative characteristic? For example, log(0.00462). Any help would be highly appreciated. Thanks. Last edited by skipjack; June 26th, 2018 at 04:11 PM. 
June 26th, 2018, 06:06 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,311 Thanks: 1223 
$\log_{10}(10^k x) = \log(x) + k$ so for example I assume you can find $y=\log(4.62)$ where in this case $k=3$ then $\log(0.00462) = y  3$ 
June 26th, 2018, 09:40 AM  #3 
Newbie Joined: Jul 2016 From: pakistan Posts: 18 Thanks: 0 
I don't understand $ and euro currency sign. For which purpose they are used here, I don't understand your answer. Thanks for your reply. though. I can find all kinds of logs, but not logs having negative characteristics, e.g. log(0.00462) and log(.5143). It's easily found using a calculator, but I want to find it manually. Any help would be highly appreciated. Thanks. Last edited by skipjack; June 26th, 2018 at 04:08 PM. 
June 26th, 2018, 10:04 AM  #4 
Senior Member Joined: Sep 2015 From: USA Posts: 2,311 Thanks: 1223  Is that any better? Your browser isn't rendering the LaTex. 
June 26th, 2018, 10:33 AM  #5 
Newbie Joined: Jul 2016 From: pakistan Posts: 18 Thanks: 0 
Simply tell me how log(0.00462)=2.3354 and log(.5143)=.288791

June 26th, 2018, 10:57 AM  #6 
Senior Member Joined: Feb 2010 Posts: 702 Thanks: 137  
June 26th, 2018, 11:25 AM  #7 
Newbie Joined: Jul 2016 From: pakistan Posts: 18 Thanks: 0 
Now I understand. I have solved other problems like this. Thanks.
Last edited by skipjack; June 26th, 2018 at 04:11 PM. 

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characteristic, find, logarithm, negative, number 
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