College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.3 - Logarithmic Functions - 4.3 Exercises - Page 388: 42


(a) $x=10$ (b) $x=5$

Work Step by Step

(a) We are given: $\log_{x}1000=3$ This means: $ x^{3}=1000$ $ x=(1000)^{1/3}=10$ (b) We are given: $\log_{x}25=2$ This means: $x^{2}=25$ $x=\pm\sqrt{25}=\pm 5$ $x=5$ (a log base can't be negative)
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