Answer
Yes
Work Step by Step
$y=log_2 x$
When $x=1$, $y=0$. When $x=2$, $y=1$. When $x=4$, $y=2$. When $x=8$, $y=3$. There is a unique value for $y$ for each unique value of $x$, so the function is one-to-one.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.