Answer:
[tex]y = log_{3}(x) [/tex]
Step-by-step explanation:
The given function is
[tex]y = {3}^{x} [/tex]
To find the inverse, we interchange x and y to get:
[tex]x = {3}^{y} [/tex]
We now solve for y by taking antilogarithm.
[tex]y = log_{3}(x) [/tex]
Therefore the inverse of the given exponential equation is the logarithm function
[tex]y = log_{3}(x) [/tex]
