Question

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?

Answer 1

\[2^x=y\iff x=\log_2(y)\]

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

@mathmate