anonymous
  • anonymous
expand this log
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[lnx ^{2}(y-2)^{2}\]
phi
  • phi
be sure to fix the mistake in your previous problem.
anonymous
  • anonymous
i got 2lnx+3lny-3ln2

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anonymous
  • anonymous
i did, thank you
anonymous
  • anonymous
just no -1 in front right?
phi
  • phi
in the other problem, I notice you added the two terms in the bottom. you should multiply them.
phi
  • phi
for this one, you have to look for terms that are *multiplied* (adding *inside* a log is not useful) here you have x^2 * (y-2)^2 you can split the multiplication into the sum of two logs
phi
  • phi
then you can move the exponents outside the logs you end up with just two terms.
anonymous
  • anonymous
i lost internet but ii am back
anonymous
  • anonymous
thank you for help
anonymous
  • anonymous
2lnx times 3ln(y-2)
phi
  • phi
close. the multiplication *inside* the log becomes ADD of logs 2lnx + 3ln(y-2)
anonymous
  • anonymous
darn so close thanks for all your help
phi
  • phi
if it helps to remember, people invented logs and used them to change complicated multiplication problems into addition problems given 12345 * 789011 they changed both into logs using a table added the logs then looked up the "anti log" log( 12345 * 789011) = log( 12345)+log (789011) adding was easier than multiplying.
anonymous
  • anonymous
cool
anonymous
  • anonymous
thx
phi
  • phi
just be thankful you can use a calculator. Using logs was painful

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