Logarithm of a single quantity

[ohhnana]

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)]

 

[jhae2.718]

Hint: use properties of logarithms.

 

[I like Serena]

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?

 

[HallsofIvy]

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)]