SOLUTION: Write the following as single logarithm: 1) 3log(x-1)-2log(x)+5log(x^2)-log(x+1) 2) 2log(12)-1/2log(9)-3log(2) 3) 3log(x)-2log(y)+5log(z) 4) 2log(a)+3log(b)-4log(c) 5) 2log(6)

Algebra ->  Trigonometry-basics -> SOLUTION: Write the following as single logarithm: 1) 3log(x-1)-2log(x)+5log(x^2)-log(x+1) 2) 2log(12)-1/2log(9)-3log(2) 3) 3log(x)-2log(y)+5log(z) 4) 2log(a)+3log(b)-4log(c) 5) 2log(6)      Log On


   

Question 1109806: Write the following as single logarithm:
1) 3log(x-1)-2log(x)+5log(x^2)-log(x+1)
2) 2log(12)-1/2log(9)-3log(2)
3) 3log(x)-2log(y)+5log(z)
4) 2log(a)+3log(b)-4log(c)
5) 2log(6)+log(2)-log(3)
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
The three main rules of logs to use on theses are:

1.   A∙log(B) = log(BA)
2.   log(A)+log(B) = log(A∙B)
3.   log(A)-log(B) = log(A/B}

I'll do 2) and 3).  You do the others:

2)  2log(12)-(1/2)log(9)-3log(2)

    log(122)-log(91/2)-log(23)
    log(144)-log(3)-log(8)
    log(144/3)-log(8)
    log(48)-log(8)
    log(48/8)
    log(6)  


3)  3log(x)-2log(y)+5log(z)
    log(x3)-log(y2)+log(z5)
    log(x3/y2)+log(z5)
    log[(x3/y2)∙(z5)]
    log(x3z5/y2)

Edwin