College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Appendix I - E Logarithms - Natural Logarithms - Appendix I-B Exercises on Logarithms - Page A-5: 2

Answer

a). If we take base 10, then $x=10^{n}$ means $n=log_{10}x$ so, if x is less than 1, this means that $10^{n}$ must be a fraction, so n must be negative. b). log (-100) does not make any sense, because $10^{n}$ can never be negative.

Work Step by Step

a). If we take base 10, then $x=10^{n}$ means $n=log_{10}x$ so, if x is less than 1, this means that $10^{n}$ must be a fraction, so n must be negative. b). log (-100) does not make any sense, because $10^{n}$ can never be negative.
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