Thursday, October 29, 2015

Logarithm


Problem:




Solution:

$ \begin{eqnarray*} & & 6\log(25-x^2)-(\log(5+x)+\log(5-x)) \\ &=& 6\log(25-x^2)-(\log(5+x)(5-x)) \\ &=& 6\log(25-x^2)-\log(25-x^2) \\ &=& 5\log(25-x^2) \\ &=& \log(25-x^2)^5 \\ \end{eqnarray*} $

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