HP dari 2.log²x-logx³-9=0

2.log²x - logx³ - 9 = 0
2.log²x - 3.log x - 9 + 0

misal log x = a
2a² - 3a - 9 = 0
(2a + 3)(a - 3) = 0

2a + 3 = 0
2a = -3
a = -3/2

a - 3 = 0
a = 3

untuk a = -3/2
log x = -3/2
x = 10^-3/2
x = 1/(10^3/2)
x = (√1.000) / 1.000
x = (√10) / 100

untuk a = 3
log x = 3
x = 10³
x = 1.000

HP = {(√10)/100, 1.000}