KimiCapezzuto966 KimiCapezzuto966
  • 15-06-2015
  • Mathematics
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What is: 2log8+9log2 Note: the 2 and the 9 are the base numbers, the must be the same in order to add logarithms

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Giovi
Giovi Giovi
  • 15-06-2015
If you have:
[tex]log_{2}(8)+log_{9}(2)=[/tex]
I would change base into the second log as:
[tex]log_{2}(8)+ \frac{ log_{2}(2)}{ log_{2}(9)}=[/tex]
Solving the logs I get:
[tex]3+ \frac{1}{3} = \frac{10}{3} [/tex]
I used an approx value for the [tex]log_{2}(9)[/tex] using [tex]log_{2}(9)=3[/tex] (it is a little bit more than 3).
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