Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.4 - Laws of Logarithms - 4.4 exercises: 17

Answer

3

Work Step by Step

$\log_2 6$ - $\log_2 15$ + $\log_2 20$ We can bring together $\log_2 6$ + $\log_2 20$ using the First Law of Logarithms $\log_2 (6 \times 20)$ - $\log_2 15$ Apply the Second Law of Logarithms $\log_2 \frac{120}{15}$ $\log_2 8$ $\log_2 2^3$ ($2^3$ = 2 $\times$ 2 $\times$ 2 = 8) =3
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