Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Section 9.7 - Common Logarithms, Natural Logarithms, and Change of Base - Vocabulary, Readiness & Video Check - Page 585: 9

Answer

If a common log is a power of 10, then that common log is $10$ raised to a power.

Work Step by Step

The understood base of the common log is 10. The common log of a number that is a power of 10 is just the power of 10. Example: $log 1000$ is the same as $log 10^3$. Since we know this is a power of 10, we know $log 1000 = 3$ since $10^3 =1000$.
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