Chapter 12 - Exponential Functions and Logarithmic Functions - Study Summary - Practice Exercises - Page 842: 8

$\log_{6}\frac{7}{10}=\log_{6}7-\log_{6}10$

In order to find an equivalent expression of $\log_{6}\frac{7}{10}$ we will use property: $$\log_{a}\frac{M}{N}=\log_{a}M-\log_{a}N$$ So $$\log_{6}\frac{7}{10}=\log_{6}7-\log_{6}10$$