Logarithm of a single quantity

  • Thread starter Thread starter ohhnana
  • Start date Start date
  • Tags Tags
    Logarithm
Click For Summary
The discussion focuses on simplifying the expression 3log2 - 1/3log(x²-1) into a single logarithmic form. Participants emphasize the importance of using logarithmic properties, such as log(a) + log(b) = log(ab) and log(a) - log(b) = log(a/b). The solution involves recognizing that 3log2 can be rewritten as log(2^3) and applying the properties to combine the terms. The final expression should reflect the logarithm of a single quantity. Understanding these properties is crucial for solving similar logarithmic problems effectively.
ohhnana
Messages
25
Reaction score
0

Homework Statement


Write the expression as a logarithm of a single quantity
3log2-1/3log(x²-1)

Homework Equations



none

The Attempt at a Solution


3log2-1/3log[(x+1)(x-1)]
 
Physics news on Phys.org
Hint: use properties of logarithms.
 
What you apparently need to know yet, is some of the properties of logarithms.

For instance:

log(2 x 3) = log(2) + log(3)
2 x log(3) = log(32)

Are these familiar to you, or do you need to know more?
 
ohhnana said:

Homework Statement


Write the expression as a logarithm of a single quantity
3log2-1/3log(x²-1)

Homework Equations



none
Very relevant equations: a log(b)= log(b^a). log(a)+ log(b)= log(ab).
log(a)- log(b)= log(a/b)

The Attempt at a Solution


3log2-1/3log[(x+1)(x-1)]
 

Similar threads

Replies
7
Views
2K
Replies
12
Views
3K
Replies
4
Views
2K
  • · Replies 20 ·
Replies
20
Views
5K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
38
Views
6K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K