SOLUTION: Write each expression as a single logarithm. a) 2log (base2) x - 4log (base2) y + 3log (base2)z b) 1/2 ln(x+3)- 2ln3x

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Write each expression as a single logarithm. a) 2log (base2) x - 4log (base2) y + 3log (base2)z b) 1/2 ln(x+3)- 2ln3x      Log On


   

Question 36197: Write each expression as a single logarithm.
a) 2log (base2) x - 4log (base2) y + 3log (base2)z
b) 1/2 ln(x+3)- 2ln3x
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
USE FORMULAE
LOG(AB)=LOG(A)+LOG(B)
LOG(A/B)=LOG(A)-LOG(B)
LOG(X^N)=N*LOG(X)
Write each expression as a single logarithm.
a) 2log (base2) x - 4log (base2) y + 3log (base2)z
=LOG(X^2)-LOG(Y^4)+LOG(Z^3).....ALL LOGS TO BASE 2.
LOG{(X^2)*(Z^3)/(Y^4)} TO BASE 2.

b) 1/2 ln(x+3)- 2ln3x
=LN(X+3)^(1/2)-LN(3X)^2
=LN{(X+3)^(1/2)/(9X^2)}