SOLUTION: express as a single logarithm: (a) 3log(x-2)+ 1/2 log(x) (b) log(3xy)- log(x)

Question 105800: express as a single logarithm:
(a) 3log(x-2)+ 1/2 log(x)
(b) log(3xy)- log(x)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
express as a single logarithm:
(a) 3log(x-2)+ 1/2 log(x)
= log(x-2)^3 + log (x^(1/2))
= log[x^(1/2)(x-2)^3]
========================
(b) log(3xy)- log(x)
= log [3xy/x]
= log (3y)
=========
Cheers,
Stan H.

RELATED QUESTIONS
Write the expression as a single logarithm... (answered by jim_thompson5910)

express the ff as a single logarithm. {{{-log(4) + 3*log(x-3) + 2*log(y) -... (answered by ankor@dixie-net.com)

express as a single logarithm: 1/2 Log(x-3) - 5... (answered by lwsshak3)

Express as a single logarithm 1/2 Log a X + 3 Log a Y - 2 Log a X (answered by jim_thompson5910)

Express log 10 - log x - 2 log 6 as a single... (answered by lwsshak3)

express log(x)-{log(4y)-log(8xy^2)} as a single logarithm and... (answered by lwsshak3)

combine as a single logarithm 3log(x+y) + 2log(x-y) - log((x^(2)) + (y^(2))) = (answered by lwsshak3)

1/2log(x)-log(y)+log(z)-1/3log(w) rewrite as a single... (answered by psbhowmick)

4) Express as a single logarithm with a coefficient of 1:... (answered by jim_thompson5910)