Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.3 - Properties of Logarithms - Exercise Set - Page 476: 114

Answer

See graph and explanations.
1582936503

Work Step by Step

Step 1. Graph the function $y=log(x)$ as shown with the red curve in the figure. Step 2. Graph the function $y=log(10x)$ as shown with the blue curve in the figure. It can be seen that this curve can be obtained by shifting the red curve up 1 unit. This is because $y=log(10x)=log(x)+log(10)=log(x)+1$ Step 3. Graph the function $y=log(0.1x)$ as shown with the green curve in the figure. It can be seen that this curve can be obtained by shifting the red curve down 1 unit. This is because $y=log(0.1x)=log(x)+log(0.1)=log(x)-1$
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