# Math Help - Single Logarithm

1. ## Single Logarithm

Write the expression below as a single logarithm.

(1/3) log(x^3 + 1) + (1/2) log(x^2 + 1)

2. Originally Posted by magentarita
Write the expression below as a single logarithm.

(1/3) log(x^3 + 1) + (1/2) log(x^2 + 1)
$= \log (x^3 + 1)^{1/3} + \log (x^2 + 1)^{1/2}$

$= \, ....$

3. ## What???

What exactly do you mean do here?

4. Originally Posted by magentarita
What exactly do you do here?
First I used the log rule $\log A^m = m \log A$ on each term to get what I posted.

Then I anticipated that you would use the log rule $\log A + \log B = \log (AB) \, .....$

5. ## ok

Understood. It is always best to use words in addition to calculations to help make things easier for students. Agree?