College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.4 - Page 493: 141

Answer

False

Work Step by Step

$$\log(x + 3) = 2$$ $$\log_{10}(x + 3) = 2$$ $$10^2 = x+3$$ $$100 – 3 = 97 = x$$ Therefore, $[\log(x+3) = 2] \neq [e^2 = x + 3]$ since both logarithmic bases are dissimilar.
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