Simplifying an Expression using Logarithms

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Homework Help Overview

The discussion revolves around simplifying an expression using logarithmic properties. Participants are exploring different forms of the expression and questioning their correctness.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants present various forms of the expression, such as 12logx and logx4/logx1/3, while questioning which is correct. There is an emphasis on understanding the simplification process and the application of logarithmic identities.

Discussion Status

The discussion is active, with participants sharing their thoughts on the correctness of different expressions. Some guidance has been offered regarding the use of logarithmic properties, but there is no explicit consensus on the final simplified form.

Contextual Notes

Participants are navigating the complexities of logarithmic simplification and expressing uncertainty about their progress. There is a mention of needing to show work and clarify steps taken in the simplification process.

jahaddow
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Ok, I have an Expression which is attached and it needs simplifying.
What I have done is got 12logx
But I don't think this is correct.
Another possible place I got to is logx4/logx1/3
Which one is it?
 

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Show your work, ok? One of those is correct and one isn't. The trouble is that the one that is correct isn't very 'simplified'.
 
Ok, so its obviously logx4/logx1/3
The problem is, I am really stuck here, can't get any further!
 
jahaddow said:
Ok, so its obviously logx4/logx1/3
The problem is, I am really stuck here, can't get any further!

Ok, that's the correct one. But now use log(x^b)=b*log(x). What do you get? log(x)/log(x) isn't log(x).
 
Ok so, 4logx/1/3logx
Would the answer be just 12?
 
Yes. Just 12.
 
Thankyou Very Much :D
 

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