Solving a Tricky Natural Log Question

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Homework Help Overview

The discussion revolves around the properties of natural logarithms, specifically the expression ln(1/x). The original poster expresses confusion regarding the manipulation of this expression and its evaluation using a calculator.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply logarithmic rules to rewrite ln(1/x) as ln(1) - ln(x) and questions the discrepancy with calculator results. Other participants suggest checking the input method in the calculator and discuss the implications of the logarithmic properties.

Discussion Status

The discussion includes various interpretations of the logarithmic properties and how they apply to the expression in question. Some participants provide informal guidance regarding calculator usage and the properties of logarithms, while the original poster seeks clarity on the manipulation of the expression.

Contextual Notes

There is an underlying assumption that the original poster is expected to understand the basic properties of logarithms, such as ln(1) equating to 0 and the power rule, which may not be fully clear to them.

Weather Freak
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I have a tricky natural log in front of me.

It's ln(1/x).

The reason it's tricky is because I thought that I could re-write it as ln(1)-ln(x), as per the rules of logs, but that doesn't seem to agree with my calculator. Is there a reason why?

Thanks!
 
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you put it in your calculator wrong?
 
Works just fine for me. Check your parenthesis or something
 
Weather Freak said:
I have a tricky natural log in front of me.
It's ln(1/x).
The reason it's tricky is because I thought that I could re-write it as ln(1)-ln(x), as per the rules of logs, but that doesn't seem to agree with my calculator. Is there a reason why?
Thanks!

And of course, log(1)= 0 so this is -ln(x). You could also have used the "power rule" to say ln(1/x)= ln(x-1)= -ln(x).

Is that what your calculator is giving you? Remember- you are supposed to be smarter than your calculator!:smile:
 

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