Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.4 - Laws of Logarithms - 4.4 exercises: 3

Answer

power 10 $\times$ $\log_5 25$

Work Step by Step

The logarithm of a number raised to a power is the same as the _______ times the logarithm of the number. So $\log_5 (25^{10})$ = _________ $\times$ __________ The third law states $\log A^B$ = B$\times$$\log A$ so the logarithm of a number raised to a power is the same as the $power$ times the logarithm of the number. If we plug in $\log_5 (25^{10})$ to the third law, the multiplication portion would be 10 $\times$ $\log_5 25$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.