Algebra 2 Trig Honors
posted by Anonymous .
logof3(x1)+ logof3(3x1)=2

Log((3X  3)(9X  3)) = 2.
(3X  3)(9X  3) = 10^2,
27X^2  9X  27X + 9 = 100,
27X^2  36X + 9 = 100,
27X^2  36X + 9  100 = 0,
27X^2  36X  91 = 0,
Using the Quadratic Formula:
X = (36 + sqrt(1296  ( 9828))) / 54,
X = (36 + sqrt(1296 + 9828)) / 54,
X = (36 + sqrt(11124)) / 54,
X = (36 + 105.5) / 54,
X = 2.62, and X = 1.29.
Check:
Log((3*2.62  3)(9*2.62  3) =
Log(7.86  3)(23.58  3) =
Log(4.86 * 20.58) =
Log(100.019) = 2.000.