Solve ${\log }_{3}54-{\log }_{3}2$

Step-by-step solution

1. Step 1 · Quotient rule
   $${\log }_3(54/2)={\log }_{3}27$$

   The rule applies because both arguments are positive and the base is positive and not 1.

2. Step 2 · Definition of a logarithm
   $${\log }_{3}27=3$$

   3 cubed is 27. A logarithm gives that exponent.