Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 6 - Inverse Functions - 6.3 Logarithmic Functions - 6.3 Exercises: 13

Answer

$2lnx+3lny-lnz=ln\frac{x^{2}y^{3}}{z}$

Work Step by Step

Use logarithmic properties $ln(pq) = lnp+lnq$ and $ln(p)^{m}= m lnp$ $2lnx+3lny-lnz=lnx^{2}+lny^{3}-lnz$ This implies Hence, $2lnx+3lny-lnz=ln\frac{x^{2}y^{3}}{z}$
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