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 - Exercise Set: 27

Answer

-4

Work Step by Step

A common logarithm is a logarithm to base 10. As shown on page 580, when a common logarithm is written in the form $log (x)$, this is equivalent to the expression $log_{10}x$. Therefore, $log .0001=log_{10}.0001=-4$. We know this, because $10^{-4}=\frac{1}{10^{4}}=\frac{1}{10000}=.0001$.
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