Simplifying an Expression using Logarithms

Click For Summary
The expression simplification discussion revolves around finding the correct form of a logarithmic expression. The correct simplification is identified as logx4/logx1/3. Participants clarify that applying the logarithmic property log(x^b) = b*log(x) leads to further simplification. Ultimately, the expression simplifies to 12, confirming the solution. The conversation emphasizes the importance of using logarithmic properties for simplification.
jahaddow
Messages
47
Reaction score
0
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?
 

Attachments

  • eq2.jpg
    eq2.jpg
    1.5 KB · Views: 383
Physics news on Phys.org
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
 

Similar threads

Two vector operations and simple expressions
  • · Replies 6 ·
Replies
6
Views
1K
Simplifying expressions using Euler's formula
  • · Replies 1 ·
Replies
1
Views
2K
Finding a definite integral from the Riemann sum
  • · Replies 2 ·
Replies
2
Views
1K
Intuition about simplifying this expression
  • · Replies 2 ·
Replies
2
Views
1K
Simplifying Expression using Logarithms
  • · Replies 34 ·
2
Replies
34
Views
7K
Please check my calculations with these complex numbers
  • · Replies 11 ·
Replies
11
Views
1K
Simplifying an expression using limits
  • · Replies 8 ·
Replies
8
Views
2K
How can the difference quotient be used to simplify the expression for y=2^x?
  • · Replies 1 ·
Replies
1
Views
1K
Simplifying an Expression with x>>a: Step-by-Step Guide
  • · Replies 4 ·
Replies
4
Views
2K
Infinite Series (Geometric) Problem
  • · Replies 4 ·
Replies
4
Views
1K