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 - Page 98: 16


$\log$$_{3}$27 = 3

Work Step by Step

To put the problem ($\log$$_{3}$27) into words it is simply asking: 3 to the what power equals 27? To make this simpler to read, you can rewrite this into exponential form. To do this, you would write it as: $3^{x}$ = 27 Now that the problem is easier to read, you can use multiplication to figure out what x equals. 3$\times$3$\times$3=27 Since it takes 3 multiplying itself three times to get to 27, x = 3. So to write it into logarithm form, you have to answer what the problem is asking: 3 to what power equals 27? 3 $\log$$_{3}$27 = 3
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