The graph of y = 2^x is shown, along with the reflection line y = x. What is the equation of its inverse logarithmic function, and what are its domain and range?

Question

princesssleelee · Answer

attachment

satellite73 · Answer

$$2^x=y\iff x=\log_2(y)$$

satellite73 · Answer

so inverse of $y=2^x$ is
 $y=\log_2(x)$

princesssleelee · Answer

y = log2x, domain: x > 0, range: all real numbers
 y = logx2, domain: x > 0, range: all real numbers
 y = 2−x, domain: all real numbers, range: y > 0
 y = log2x, domain: all real numbers, range: y > 0

princesssleelee · Answer

Here are my options @satellite73 
I am thinking it is a or b however I am not completely sure ... :(

princesssleelee · Answer

@mathmate