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

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) (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)}
RELATED QUESTIONS
How do you write 5log[base2]x+(1/2)log[base2]y as a single... (answered by jsmallt9)

Rewrite the expression log base2 x + 4log base2y - 5log base2 z as a single logarithm log (answered by stanbon)

Use the power, quotient, and product rules of logarithms to rewrite the expression as a... (answered by lwsshak3)

how to express as a logarithm of a single number: 1. 7 log base2 x- 1/3 log base2 y (answered by stanbon)

1. Write the following as single expression as a single logarithm a) 3log(base2)a -... (answered by stanbon)

Write the following as single logarithm: 1) 3log(x-1)-2log(x)+5log(x^2)-log(x+1) 2)... (answered by Edwin McCravy)

1. Write the following expressions of the single logarithm of the single logarithm a)... (answered by stanbon)

log[base2]x+2log[base2]y=x (answered by Alan3354)

Combine 3log(base2)x + 1(over)2log(base8)x - 2log(base2)(x+1) 1(over)2 is a... (answered by stanbon)