Combining Logs: a.log(b)+ c.log(d)?

  • Thread starter Thread starter Fairy111
  • Start date Start date
Click For Summary

Homework Help Overview

The discussion revolves around the expression a.log(b) + c.log(d) and whether it can be simplified to (a+c)log(bd) or (a.c)log(bd). The subject area is logarithmic properties and their application in algebraic expressions.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the properties of logarithms, questioning how to combine the terms in the expression. There is an attempt to apply known logarithmic identities to derive a simplified form.

Discussion Status

Some participants have provided guidance on applying logarithmic identities, suggesting that the original poster's proposed results are incorrect. There is an ongoing exploration of the correct simplification of the expression.

Contextual Notes

Participants are working within the constraints of homework rules, focusing on understanding the properties of logarithms without providing direct solutions.

Fairy111
Messages
72
Reaction score
0

Homework Statement



If you have a.log(b)+ c.log(d), is that equal to,

(a+c)log(bd) or (a.c)log(bd) ?

Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
You know that a \log b=\log b^a and you also know that \log a+\log b=\log ab. Try to apply these to your expression, to find the correct results (both the results you listed are incorrect).
 
Last edited:
So it would be log(b^a . d^c) ?
 
Hi Fairy111! :smile:

(try using the X2 tag just above the Reply box :wink:)
Fairy111 said:
So it would be log(b^a . d^c) ?

Yup! :biggrin:
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
8
Views
3K
Replies
3
Views
2K
Replies
8
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K