Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 7 - Exponential and Logarithmic Functions - 7-3 Logarithmic Functions as Inverses - Practice and Problem-Solving Exercises: 20

Answer

$\log_2{16}=4$

Work Step by Step

Let $x=\log_2{16}.$ RECALL: $\log_{a}{y} = b \longleftrightarrow a^b = y$ Use the definition above to convert the equation to an exponential equation and have $2^x=16.$ Write each side in base 2 to have $2^x=2^4.$ The bases are the same, so the exponents must be equal. Thus, $x=4$ and so $\log_2{16}=4.$
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