Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 9 - Section 9.4 - Properties of Logarithms - Exercise Set - Page 713: 82

Answer

False

Work Step by Step

To prove: $\ln x+\ln (2x)=\ln (3x)$ Since, $\ln m+\ln n=\ln (mn)$ Thus, $\ln x+\ln (2x)=\ln (2x)(x)$ [L.H.S.] Let us write the correct statement such as: or, $\ln (2x^2)=\ln (3x)$ which is not true. Hence, the given statement is false.
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