What if X is 0 or lower in Logarithm Cancellation Law

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Homework Help Overview

The discussion revolves around the implications of the logarithm cancellation law when the variable x is zero or negative. Participants are exploring the mathematical properties of logarithms, particularly focusing on the conditions under which they are defined.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants question the significance of x being zero or lower in the context of logarithmic laws, with some seeking examples to illustrate the point. There is a focus on the definition of logarithms and the implications of undefined values.

Discussion Status

The discussion is currently centered on the understanding that logarithms are undefined for non-positive values of x. Some participants have reiterated this point, indicating a shared recognition of the issue, though no further examples or explorations have been provided.

Contextual Notes

There is an emphasis on the undefined nature of logarithms for x less than or equal to zero, which is a critical assumption in the discussion. No specific examples have been introduced to illustrate the implications of this assumption.

SELFMADE
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What difference will it make?
 
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SELFMADE said:
What difference will it make?

Do you have an example of what you are talking about?
 
log(x) is undefined for x<=0, so any laws involving logs do not make sense when x<=0.
 
Dunkle said:
log(x) is undefined for x<=0, so any laws involving logs do not make sense when x<=0.

That does it. Thanks
 

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