Logarithm of a single quantity

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Homework Help Overview

The discussion revolves around simplifying the expression 3log2 - 1/3log(x²-1) into a logarithm of a single quantity, focusing on properties of logarithms.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of logarithmic properties, such as the product and quotient rules, to combine the terms. There is a suggestion to consider the properties of logarithms in relation to the given expression.

Discussion Status

Some participants have provided hints and reiterated the importance of logarithmic properties, while others have shared their attempts at rewriting the expression. The discussion is ongoing with various interpretations being explored.

Contextual Notes

There are no explicit equations provided, but participants reference relevant logarithmic identities that may aid in the simplification process.

ohhnana
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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)]
 
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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)]
 

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