Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.3 - Logarithmic Functions - 4.3 Exercises: 9

Answer

a.) $3^4 = 81$ b.) $3^0 = 1$

Work Step by Step

$Express$ $the$ $equation$ $in$ $exponential$ $form:$ a.) $\log_3 81 = 4$ b.) $\log_3 1 = 0$ Logarithmic form to Exponential form: $\log_b a = c \rightarrow b^c = a$ a.) $\log_3 81 = 4$ Plug in 3 for b, 81 for a, and 4 for c $\log_3 81 = 4 \rightarrow 3^4 = 81$ b.) $\log_3 1 = 0$ Plug in 3 for b, 1 for a, and 0 for c $\log_3 1 = 0 \rightarrow 3^0 = 1$
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