# Difference of Logarithms to form a quotient?

Write as a single logarithm: $\log_8(5) - 2\log_8(6)$

To my understanding; because they are the same base you can just evaluate $\log_8\left(\frac{\log(5)}{\log(6)}\right)$ which is shown on the multiple choice I have as $\log_8\left(\frac{5}{12}\right)$.

However this is apparently not the correct answer. Where did I go wrong?

Thanks!

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I've added LaTeX formatting to your question; apologies if I changed your intended meaning in any way. –  Zev Chonoles Aug 20 '11 at 21:11
Thanks so much. Can you tell me where I can inform myself upon how to format the texts like that? –  John Aug 20 '11 at 21:13
tobi.oetiker.ch/lshort/lshort.pdf This is a good reference if you want to get familiar with $\LaTeX$ in general. If you just want to get familiar with latex for this site, then I suggest you just search `Math in latex' on google and you will probably get some references. –  sxd Aug 20 '11 at 21:17