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 4.2: 120

Answer

Please see step-by-step.

Work Step by Step

See page 456. The equations $ y=\log_{b}x\quad$ and $\quad b^{y}=x$ (the first is in logarithmic, the second in exponential form) are equivalent, according to the definition of the logarithmic function. The relationship: The two forms are different ways to express the same thing. In logarithmic form, y is a logarithm, while in the exponential form, y is an exponent, with same base.
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