Help with algebra problem involving logs

  • Context: High School 
  • Thread starter Thread starter strike2kill
  • Start date Start date
  • Tags Tags
    Algebra
Click For Summary

Discussion Overview

The discussion revolves around solving an algebra problem involving logarithms, specifically the equation (Log3 of x)(Logx of 2x)(Log2x of Y) = (log x of x^2). Participants seek to understand how to manipulate logarithmic expressions to find the value of Y.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant presents the equation and requests help in understanding how to derive the solution.
  • Another participant mentions the base changing theorem, suggesting it may be relevant to the problem.
  • A participant provides a formula for changing the base of logarithms, indicating how to express log terms in a different base.
  • There is a suggestion to use a specific link to Wolfram Alpha to visualize the problem, although it is noted that the answer is not directly provided.
  • One participant expresses familiarity with the change of base formula but indicates uncertainty about its application in this context.
  • A participant suggests replacing the logarithmic terms with their equivalent expressions using the change of base formula.
  • A moderator moves the thread to a more appropriate category, indicating that it does not belong in "Linear and Abstract Algebra."

Areas of Agreement / Disagreement

Participants generally agree on the relevance of the change of base theorem but do not reach a consensus on how to apply it to find Y. The discussion remains unresolved regarding the specific steps needed to solve the problem.

Contextual Notes

Some participants express uncertainty about the application of the change of base formula, and there are unresolved mathematical steps in the manipulation of logarithmic expressions.

Mathematics news on Phys.org
Do you know about the base changing theorem?
 
Welcome to PF, strike2kill! :smile:

strike2kill said:
If (Log3 of x )( Logx of 2x)(Log2x of Y) =(log x of x^2) what is the value of Y?

http://www.wolframalpha.com/input/?i=(Log3+of+x+)(+Logx+of+2x)(Log2x+of+Y)+=(log+x+of+x^2)

Wolfram Alpha gives me that but i need to know how to get there. THANKS!

What you would need is that ##\log_g a = {\log a \over \log g}##.
Can you find Y if you use this?


Btw, let's redo WolframAlpha with the proper expression:
http://www.wolframalpha.com/input/?i=log(3,+x)+*+log(x,++2x)+*+log(2x,+Y)+=+log(x,+x^2)
Actually Wolfram does not give the answer, although you can read it off the graph that it generates.
 
I'm sort of familiar with the change of base formula but I don't know how to apply it here
 
Replace (Log3 of x) by log(x)/log(3) and so on...
 
This has nothing to do with "Linear and Abstract Algebra" so I am moving it to "general mathematics".
 

Similar threads

  • · Replies 34 ·
2
Replies
34
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 23 ·
Replies
23
Views
6K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K