Question

if t(x) = log_3 (x), give equation for t^-1(x)

Answer 1

\[y=\log_{3}x \]
\[3^y=x\]

Answer 2

Now interchange the x and y
\[3^x=y\]
So we see that
\[y=\log_{3}x \]
is the inverse of
\[y=3^x\]