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 492: 137

Answer

$Doesn’t$ $make$ $sense$

Work Step by Step

Both equations can be solved by changing each to its logarithmic form. However, one of the equations can be further solved by using properties of logarithms to arrive at an integer solution: $$2^x = 15$$ $$\log_{2}15 = x$$ $$AND$$ $$2^x = 16$$ $$\log_{2}16 = x$$ $$\log_{2}2^4 = x$$ $$4\log_{2}2 = x$$ $$4 = x$$
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