Use the Laws of Logarithms to expand the expression. ln ab

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

Use the Laws of Logarithms to expand the expression.
ln 
SQRTab
Jul 17th, 2015

Thank you for the opportunity to help you with your question!

First, we need to use this radical property:

sqrt(x) = x^1/2

So then we would have:

ln( sqrt(ab) ) = ln( (ab)^1/2 )

After this, we use this logaritmic property:

ln(x^n) = n*ln(x)

So it will be like this:

ln( (ab)^1/2 ) =  1/2ln(ab)

Then we use this logaritmic property:

ln(xy) = ln(x) + ln(y)

So we would have the following:

1/2ln(ab) = 1/2( ln(a) + ln(b) ) = 1/2ln(a) + 1/2ln(b)

Final answer: 1/2ln(a) + 1/2ln(b)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 17th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Jul 17th, 2015
...
Jul 17th, 2015
Jun 24th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer