Question

The graph of y = 2x 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?

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 1

$y=2^x\\\\\log_2 y=\log_22^x\\\\\log_2 y=x\\\\\boxed{y=\log_2 x}\\\\Answer:\boxed{y=\log_2x;\ D:x \ \textgreater \ 0;\ R:y\in\mathbb{R} }$