College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.3 - Logarithmic Functions - 4.3 Exercises - Page 387: 1

Answer

Fill the blank with: x. Fill the table with values $3, 2, 1, 0, -1,-2,-3,1/2$

Work Step by Step

By definition, $\log_{a}x=y \Leftrightarrow a^{y}=x$ ($\log_{a}x$ is the exponent to which the base $a$ must be raised to give $x$.) If the base is 10, then $\log x=y \Leftrightarrow 10^{y}=x$ $\log 10^{3}=3, \log 10^{2}=2, $etc. The table is filled with: $3, 2, 1, 0, -1,-2,-3,1/2$
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