How to find this answer using logarithmic table?

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Homework Help Overview

The discussion revolves around finding the quotient of 3 and 5840 using a logarithmic table. The original poster seeks guidance on how to approach this problem with logarithmic concepts.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the properties of logarithms, specifically how to find the logarithm of a product and a quotient. There are inquiries about the type of logarithmic table available to the original poster, with suggestions to describe or provide a picture of it.

Discussion Status

Several participants are exploring different aspects of using logarithmic tables, with some providing insights into the structure of the tables and how to apply logarithmic properties. There is no explicit consensus, but productive questions and suggestions are being shared.

Contextual Notes

Participants mention the specific logarithmic table being used, indicating it is for an 11th standard student and may resemble those found in CRC series books. There is an acknowledgment that learning to use these tables may require additional study.

Dinesh321
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3/5840=0.00051
How to find this answer using logarithmic table? Thanks in advance.?
 
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What do you do to find the logarithm of a product ?
And what for the logarithm of a quotient ?
 
What kind of logarithmic table do you have available?
 
I want to find quotient of 3 and 5840.
 
Dinesh321 said:
I want to find quotient of 3 and 5840.

We know.

Now answer our questions.
 
I am using Logarithmic table (of 11th standard student).
 
Dinesh321 said:
I am using Logarithmic table (of 11th standard student).

That doesn't tell us anything. Please describe the table or attach a picture.

And answer BvU too.
 
My guess is the table is similar to the one in the CRC series of books. It's a table of 900 logs (base 10) for values 0.100 to 0.999, to 4 decimal places. The CRC books explain how to use the log tables.
 
You need to convert all of the numbers involved into a form similar to scientific notation. For this problem, 3 = .3 * 101, so log(3) = log(.3 * 101) = log(.3) + log(101) = log(.3) + 1

To calculate the log of a product, use the fact that log(AB) = log(A) + log(B). To calculate the log of a quotient, use the fact that log(A/B) = log(A) - log(B).
 
  • #10
Thanks Mark for answering my question...:wink:... however, it was meant for Dinesh...
 
  • #11
Old textbooks on Intermediate Algebra had good instructions for how to use log tables. Those would be the best way to learn this. Learning to use such tables will require some studying, maybe a couple of weeks if you are new to this; maybe a couple hours or so if you had done it previously. All the while, keep reminding yourself the meaning of LOGARITHM, base, and ANTI-LOG. Not telling you how. I'm just suggesting where to look.
 
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