steps to this log equation

I started out doing this the complicated way, but then I spotted the easy way, and I realized how awkward and unhelpful my first method was. log₃ ( 27/81 ) .Before we even begin to worry about the log , let's reduce that ugly fractionto lowest terms (simplest form).Divide top and bottom by 27 :log₃ (1/3) .  Now it's a lot less scary.Definition of log₃ of (some number): The power that 3 must be raised to in order to get the number.What power do you have to raise 3 to in order to get 1/3 ?Hint:  What does ' 3⁻¹ ' mean ?' 3⁻¹ ' means 1/3 .  So -1 is the power to which you have to raise 3 in order to get 1/3.So the log₃ of (1/3) is -1 .I suspect this is going in and out of focus as you read it.Please go back and read it another 2 or 3 times, until itsnaps into focus.

[tex]\log_3\frac{27}{81}=\\
\log_3\frac{1}{3}=\\
\log_33^{-1}=\\
-1
[/tex]