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: 4

Answer

From Q1, $log 20 = 1.30$, From Q3, $ln 20 = 3.00$ Using the relationships, $logx=0.43429lnx$ and $lnx=2.3026logx$ $log20=0.43429\times ln20=0.43429\times 3.00=1.30$ which is correct. Also, $ln20=2.3026\times log20=2.3026\times1.30=3.00$ which is also correct. Hence, double check is done.

Work Step by Step

From Q1, $log 20 = 1.30$, From Q3, $ln 20 = 3.00$ Using the relationships, $logx=0.43429lnx$ and $lnx=2.3026logx$ $log20=0.43429\times ln20=0.43429\times 3.00=1.30$ which is correct. Also, $ln20=2.3026\times log20=2.3026\times1.30=3.00$ which is also correct. Hence, double check is done.
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