1) Matching the exponential and logarithmic equations
Note that we are looking for equivalent expressions or equations.
So
[tex]\begin{gathered} 3^4=81\text{ ----- }\log _3(81)=4 \\ \log _3(\frac{1}{3})=-1\text{ ------}3^{-1}=\frac{1}{3} \\ 3^{-2}=\frac{1}{9}------\log _3(\frac{1}{9})=-2 \\ \log _3(27)=3\text{ ------ }3^3=27 \end{gathered}[/tex]
What we have here is the reciprocal of each operation. So to each exponential operation its reciprocal logarithmic operation.
