Can Logarithmic Functions Be Zero or Negative?

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Homework Help Overview

The discussion revolves around the properties of logarithmic functions, specifically the range of the exponential function y = b^n and the implications for the domain of log(b)n. Participants are exploring whether log(b)n can be zero or negative.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to clarify the relationship between the exponential function and its logarithmic counterpart. Questions are raised about the conditions under which log(b)n can take on negative values or equal zero.

Discussion Status

The discussion is ongoing, with participants providing insights and corrections to each other's statements. Some guidance has been offered regarding the domain of logarithmic functions, particularly noting that log(0) results in an error, which suggests a constraint on the domain.

Contextual Notes

There is mention of varying levels of understanding among participants, with some expressing confusion about the original question. The original poster is in grade 11 and is referencing material from a grade 12 textbook, which may contribute to the complexity of the discussion.

Byrgg
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I'm only in gr.11 right now, and I was looking at a gr.12 textbook, since this isn't really homework I decided to post this here, is that ok or is this the wrong board?

Well anyway, it asked what the range of of the function y = b ^ n would be (and the domain) and also if log(b) n could ever be negative or 0.

Could someone please help?
 
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Err, a correction quickly, it asks the range of y = b^ n and what that means for the domain of log(b) n, it still asks if log(b) n can ever be 0 or negative though.
 
Oh and an explained answer(not just a one word one) is hoped for.
 
Byrgg said:
Err, a correction quickly, it asks the range of y = b^ n and what that means for the domain of log(b) n, it still asks if log(b) n can ever be 0 or negative though.
ur question is really confusing I am doing yr 12 and started log about 2 weeks ago. but i can giv u some infos . it may not b correct lol.
if u type in calculator log0 or ln0 u get an MA error. so yeh the domain is x>0
 

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