Single Logarithm

**magentarita** · Aug 7th 2008, 02:43 AM

Write the expression below as a single logarithm.

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

**mr fantastic** · Aug 7th 2008, 03:23 AM

Originally Posted by magentarita

Write the expression below as a single logarithm.

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

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

$= \, ....$

**magentarita** · Aug 7th 2008, 07:31 PM

What exactly do you mean do here?

**mr fantastic** · Aug 7th 2008, 08:35 PM

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 $\log A + \log B = \log (AB) \, .....$

**magentarita** · Aug 8th 2008, 06:49 AM

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

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