Nilai x yang memenuhi persamaan 2.³log² x - ³log x³+log 10=10

2.³log²x - ³log x³ + 1 = 10
2.³log²x - 3.³log x + 1 - 10 = 0
2.³log²x - 3.³log x - 9 = 0
misal ³log x = p
2p² - 3p - 9 = 0
(2p + 3)(p - 6) = 0
2p + 3 = 0
p = -3/2
³log x = -3/2
x = 3^(-3/2)
x = 1 / 3^(3/2)
x = 1 / (3√3) rasionalkan
x = (1/9)√3
atau
p - 6 = 0
p = 6
³log x = 6
x = 3^6
x = 729