Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.5 - Logarithmic Functions - Vocabulary and Readiness Check - Page 874: 5



Work Step by Step

Every point in the Y-axis has an $x$ coordinate equal to $0$. To find the x-intercept in $y = log_2x$, you have to make $x = 0$. Doing as above, we have $y = log_20 \longrightarrow 2^{y} = 0$, but there is no $y$ value that satisfies this expression. Therefore there is not an x-intercept in the function $y = log_2x$.
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