How can the properties of logarithms be used to simplify and solve equations?

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Discussion Overview

The discussion focuses on the application of logarithmic properties to simplify and solve equations. Participants are exploring how to express logarithmic expressions in terms of sums, differences, or constant multiples.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant suggests rewriting the expression "lnx - 1/2ln(x^2 + 1)" using logarithmic properties.
  • Another participant expresses uncertainty about how to proceed with their problem, indicating a lack of direction.
  • A third participant prompts others to consider what to do with the denominator and the product in the numerator, suggesting a focus on manipulation of the expression.

Areas of Agreement / Disagreement

The discussion remains unresolved, with participants expressing different levels of understanding and approaches to the problem.

Contextual Notes

Some participants have not provided complete information on their attempts, and there may be missing assumptions regarding the specific equations being simplified.

schooler
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Use the properties of Logarithms to write the expression as a sum, difference, and/or constant multiple of logarithms:
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What have you tried? Where are you stuck?
 
Ackbach said:
What have you tried? Where are you stuck?

For the first one I did " lnx-1/2ln(x^2+1)"

For the second one, I have no idea what to do :(
 
What should you do with the denominator? How about the product in the numerator?
 

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