Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.5 Exercises: 21

Answer

a) $\frac{1}{3}$ b) $\frac{1}{16}$

Work Step by Step

$ x^y = z \iff \log_{x}{z} = y$ a) $\log_3{x} = -1 \rightarrow 3^{-1} = x \rightarrow x = \frac{1}{3}$ b) $\log_2{x} = -4 \rightarrow 2^{-4} = x \rightarrow x = \frac{1}{16}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After 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.