arialfa07 arialfa07
  • 15-05-2018
  • Mathematics
contestada

rewrite as a quotient of two base- 5 logarithms. Write your answer in simplest form.
log 9 =

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sqdancefan
sqdancefan sqdancefan
  • 15-05-2018
[tex]\log(9)=\log_{10}(9)=\dfrac{\log_{5}(9)}{\log_{5}(10)}[/tex]

In my opinion, that is the simplest form. However, your teacher may want you to remove powers and factors of 5. In that case, the result is ...

[tex]=\dfrac{\log_{5}(3^{2})}{\log_{5}(5\cdot 2)}=\dfrac{2\log_{5}(3)}{1+\log_{5}(2)}[/tex]
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