Solve Log3x: Steps & Graph Changes for y=log4x

  • Thread starter Thread starter Buddah
  • Start date Start date
Click For Summary

Homework Help Overview

The discussion revolves around understanding the transformation of the graph of the logarithmic function y = log4x when the input is modified to 16x². Additionally, participants are exploring the steps required to solve the equation log3x + log3(x+2) = 1.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to clarify the notation used in the logarithmic expressions and the specific transformation applied to the variable x. There is also a focus on comparing the logarithmic functions and applying logarithmic properties to understand the changes in the graph.

Discussion Status

The discussion is ongoing, with some participants seeking clarification on the mathematical expressions and others suggesting the use of logarithmic rules to analyze the graph transformation. There is no explicit consensus yet, but the conversation is moving towards a deeper understanding of the logarithmic properties involved.

Contextual Notes

Participants are addressing potential ambiguities in the problem statement, particularly regarding the interpretation of the logarithmic base and the expression for x. There is an emphasis on ensuring clarity in the mathematical notation before proceeding with the analysis.

Buddah
Messages
7
Reaction score
0
Confused

1.Describe the changes to the graph of y = log4x when x is replaced by 16x2
2.Describe the steps you would say over the phone to explain how to solve the equation log3x +log3(x+2)=1

thanks in advance
 
Physics news on Phys.org


Is that Log(4x) or Log(base 4) of x? Do you mean 32 by 16x2 or 32x?

Can you please clarify your numbers.
 


log(base 4) and its 16x^2
 


Well, how does log(base 4)(x) compare to log(base 4)(16*x^2)? Use the rules of logs. Like log(a*b)=log(a)+log(b).
 

Similar threads

Replies
10
Views
2K
Replies
10
Views
3K
Replies
8
Views
5K
Replies
4
Views
3K
Replies
18
Views
4K
Replies
4
Views
2K
Replies
4
Views
3K
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 11 ·
Replies
11
Views
4K