Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - 2.5 Logarithmic Functions - 2.5 Exercises: 15

Answer

$\log$$_{4}$64 = 3

Work Step by Step

To put the problem ($\log$$_{4}$64) into words it is simply asking: 4 to the what power equals 64? To make this simpler to read, you can rewrite this into exponential form. To do this, you would write it as: $4^{x}$ = 64 Now that the problem is easier to read, you can use multiplication to figure out what x equals. 4$\times$4$\times$4=64 Since it takes 4 multiplying itself three times to get to 64, x = 3. So to write it into logarithm form, you have to answer what the problem is asking: 4 to what power equals 64? 3 $\log$$_{4}$64 = 3
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