SOLUTION: how do i express this problem as a single logarithm please help ln(x+1)+ln(4)-(1/2)ln(x)

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Question 399923: how do i express this problem as a single logarithm please help
ln(x+1)+ln(4)-(1/2)ln(x)
Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
how do i express this problem as a single logarithm please help
ln(x+1)+ln(4)-(1/2)ln(x)

logarithmic rule: ln(m) + ln(n) = ln(mn)
logarithmic rule: nln(m) = ln(m^n)
logarithmic rule: ln(m) - ln(n) = ln(m/n)
ln(x + 1) + ln(4) = ln(4(x + 1))
(1/2)ln(x) = ln(x^(1/2))
ln(4(x + 1)) - ln(x^(1/2)) = ln(4(x + 1)/x^(1/2))
ln(4(x + 1)/x^(1/2)) = ln(4(x + 1)x^(1/2)/x)
ln(4(x + 1)x^(1/2)/x) = ln((4x + 4)(x^(1/2))/x)
ln((4x + 4)(x^(1/2))/x) = ln((4x^(3/2) + 4x^(1/2))/x)