Question 670240: how do you condence 1/2[ln3+4lnx-2ln(x-1)
Answer by DrBeeee(684)   (Show Source):
You can put this solution on YOUR website! First multiply the 1/2 into the expression and get
(1) ln(3)/2 + ln(4)/2 - ln(x-1)
Now use the property
(2) ln(x^n) = n*ln(x) to get
(3) ln(3^(1/2)) + ln(4^(1/2)) - ln(x-1) or
(4) ln(sqrt(3)) + ln(2) - ln(x-1)
Now apply the property
(5) ln(a*b/c) = ln(a) + ln(b) - ln(c) to (4) to get
(6) ln(sqrt(3)*2/(x-1))
Answer: the condensation of the expression is ln(2*sqrt(3)/(x-1))
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