Use the Laws of Logarithms to combine the expression. 1 2 log(x + 2)2 + 1 3 lo

Algebra
Tutor: None Selected Time limit: 1 Day

 Use the Laws of Logarithms to combine the expression.

1
2
log(x + 2)2 + 
1
3
log x6 − log(x2 − 2x − 8)3
 
Apr 9th, 2015

1/2log(x + 2)^2 + 1/3(log x^6 - log(x^2 - 2x - 8)^3

= log(x + 2)^2*1/2 + log x^6*1/3 - log{ (x - 4)(x + 2) }^3 ,  using m log n = log n^m , factor last term

= log [ { (x + 2)*x^2} / (x - 4)^3 (x + 2)^3} ]  ,  using  log m + log n = log mn & log m - log n = log m/n

= log [x^2 /(x - 4)^3 (x + 2)^2

Apr 9th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Apr 9th, 2015
...
Apr 9th, 2015
May 27th, 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