Raymond B. answered • 04/30/22
Tutor
5
(2)
Math, microeconomics or criminal justice
ln(x+2) - ln(x-1) = ln8 - lnx
ln((x+2)/(x-1)) = ln(8/x)
(x+2)/(x-1) = 8/x
cross multiply
8x-8 = x^2 +2x
x^2 -6x + 8 = 0
factor
(x-4)(x-2) = 0
set each factor =0
x-4 =0, x-2=0
x = 2 or 4
check the answers
x=2
ln(2+2) - ln(2-1) = ln8 - ln(2)
ln4 -ln1 = ln8 -ln2
1.39 - 0 = 2.08 - .69
1.39 = 1.39
x=4
ln(4+2) - ln(4-1) = ln8 - ln4
ln6 - ln3 = ln8 - ln4
1.79 - 1.10 = 2.08 - 1.39
0.69 = 0.69
