My Math Forum How to find logarithm of a number having negative characteristic.

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 June 26th, 2018, 03:40 AM #1 Newbie   Joined: Jul 2016 From: pakistan Posts: 14 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: 2,165 Thanks: 1139 $\log_{10}(10^k x) = \log(x) + k$ so for example I assume you can find $y=\log(4.62)$ where in this case $k=-3$ then $\log(0.00462) = y - 3$ Thanks from jonah and rewt
 June 26th, 2018, 09:40 AM #3 Newbie   Joined: Jul 2016 From: pakistan Posts: 14 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
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 June 26th, 2018, 10:33 AM #5 Newbie   Joined: Jul 2016 From: pakistan Posts: 14 Thanks: 0 Simply tell me how log(0.00462)=-2.3354 and log(.5143)=-.288791
June 26th, 2018, 10:57 AM   #6
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Quote:
 Originally Posted by rewt Simply tell me how log(0.00462)=-2.3354 and log(.5143)=-.288791
Just do what Romsek said.

Find log(4.62) and then subtract 3.

 June 26th, 2018, 11:25 AM #7 Newbie   Joined: Jul 2016 From: pakistan Posts: 14 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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