Write the expression below as a single logarithm. (1/3) log(x^3 + 1) + (1/2) log(x^2 + 1)
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Originally Posted by magentarita Write the expression below as a single logarithm. (1/3) log(x^3 + 1) + (1/2) log(x^2 + 1) $\displaystyle = \log (x^3 + 1)^{1/3} + \log (x^2 + 1)^{1/2}$ $\displaystyle = \, ....$
What exactly do you mean do here?
Last edited by magentarita; Aug 8th 2008 at 06:47 AM. Reason: Added the word "mean."
Originally Posted by magentarita What exactly do you do here? First I used the log rule $\displaystyle \log A^m = m \log A$ on each term to get what I posted. Then I anticipated that you would use the log rule $\displaystyle \log A + \log B = \log (AB) \, .....$
Understood. It is always best to use words in addition to calculations to help make things easier for students. Agree?
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