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 4.4 - Laws of Logarithms - 4.4 Exercises: 3

Answer

power $\log_{5}(25^{10})=10\cdot\log_{5}25=10\cdot 2=20$

Work Step by Step

The logarithm of a number raised to a power is the same as the ___power___ times the logarithm of the number. So ___$\log_{5}(25^{10})=10\cdot\log_{5}25=10\cdot 2=20$___.
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