SOLUTION: Hi, I have a multiple choice question and i'm stuck between the two answers. I have ln (x\square root of yz) = either lnx - 1\2 (ln y - ln z) or ln x - 1\2 (ln y + ln z).

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hi, I have a multiple choice question and i'm stuck between the two answers. I have ln (x\square root of yz) = either lnx - 1\2 (ln y - ln z) or ln x - 1\2 (ln y + ln z).       Log On

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Question 50915: Hi, I have a multiple choice question and i'm stuck between the two answers.
I have ln (x\square root of yz) =
either lnx - 1\2 (ln y - ln z)
or ln x - 1\2 (ln y + ln z).
I have got as far as ln x - square root ln y SOMETHING ln z
I am just not sure whether the SOMETHING should be plus or minus sign.
thanks for your help.
Answer by rapaljer(4667) About Me  (Show Source):
You can put this solution on YOUR website!
The ln of a product is the SUM of the logs, so use the positive. The negative is still outside the parentheses.

I have ln (x/square root of yz) =
ln x - 1/2 (ln y + ln z).

R^2 at SCC