Question

expand this log

Answer 1

\[lnx ^{2}(y-2)^{2}\]

Answer 2

be sure to fix the mistake in your previous problem.

Answer 3

i got 2lnx+3lny-3ln2

Answer 4

i did, thank you

Answer 5

just no -1 in front right?

Answer 6

in the other problem, I notice you added the two terms in the bottom. you should multiply them.

Answer 7

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

Answer 8

then you can move the exponents outside the logs
you end up with just two terms.

Answer 9

i lost internet but ii am back

Answer 10

thank you for help

Answer 11

2lnx times 3ln(y-2)

Answer 12

close. the multiplication *inside* the log becomes ADD of logs

2lnx + 3ln(y-2)

Answer 13

darn so close thanks for all your help

Answer 14

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.

Answer 15

cool

Answer 16

thx

Answer 17

just be thankful you can use a calculator. Using logs was painful