Answer
$ln10+2ln5=ln250 $
Work Step by Step
Use logarithmic properties $ln(pq) = lnp+lnq$, $ln(\frac{p}{q}) = lnp-lnq$ and $ln(p)^{m}= m lnp$.
$ln10+2ln5=ln10+ln5^{2}$
$=ln10+ln25$
$=ln(10\times25)$
Hence, $ln10+2ln5=ln250$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 6 - Inverse Functions - 6.3 Logarithmic Functions - 6.3 Exercises - Page 426: 15
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