joelmartinez179 joelmartinez179
  • 09-05-2018
  • Mathematics
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expand in logarithmic expression

expand in logarithmic expression class=

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sqdancefan
sqdancefan sqdancefan
  • 09-05-2018
[tex]\ln \left( \sqrt{r^{8}s^{6}} \right)=\ln \left( \left( r^{8}s^{6} \right)^{\frac{1}{2}} \right)\\ =\dfrac{1}{2}\ln \left( r^{8}s^{6} \right)=\dfrac{1}{2}(8\ln(r)+6\ln(s))\\ =4\ln(r)+3\ln(s)[/tex]
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