Question 1105190
I would agree if your teacher said that {{{y=log(3,x)}}} is the logarithmic form of {{{x=3^y}}} ,
because when one equation is true so is the other,
but option b does not say that.
Neither graph by itself shows any symmetry, but they are inverse functions, and as you interchange x for y to get an inverse function, you are flipping the graph so that the x-axis becomes the y-axis and vice versa. That make inverse mirror images of each other, and the line y=x is the mirror.
This is the graph of {{{y=3^x}}} {{{graph(300,300,-2,3,-1,9,3^x)}}} ,
and the graph of {{{y=log(3,x)}}} looks like this:
{{{graph(300,300,-1,9,-2,3,log(3,x))}}} .
Both graphs together, along with the line {{{y=x}}} look like this:
{{{graph(300,300,-2,8,-2,8,3^x,log(3,x),x)}}} .
You know that the line {{{y=0}}} is the x-axis.
What do you think of choices a and d now?