Question

logarithms with integration. does the ln(-3) cancel?

Answer 1

\[\frac{ 1 }{ 6 }(\ln 5-\ln11-\ln \left| -3 \right|+\ln3)\]

Answer 2

how does that become \[\frac{ 1 }{ 6 } \ln \frac{ 15 }{ 11 }\]? does the ln -3 cancel?

Answer 3

i kept getting 15/33...so im assuming the -3 canceled?

Answer 4

i know that... but doesnt the absolute value make it positive?

Answer 5

\[\frac{ 1 }{ 6 }(\ln 5-\ln11-\ln \left| -3 \right|+\ln3) \]\[=\frac{ 1 }{ 6 }(\ln 5-\ln11-\ln 3+\ln3)\]\[=\frac{ 1 }{ 6 }(\ln 5-\ln11 +(\ln3 -\ln3))\]\[=\frac{ 1 }{ 6 }(\ln 5-\ln11 +0)\]\[=\frac{ 1 }{ 6 }(\ln 5-\ln11)\]
This is what I can get :\

Answer 6

\[=\frac{ 1 }{ 6 }\ln \frac{5}{11}\]

Answer 7

ooooh! i thought the - ln3 would go to the denominator

Answer 8

Problem solved?

Answer 9

yes thanks a bunch

Answer 10

Welcome :) Sorry for reading your question wrong earlier!

Answer 11

no worries