log ²x+log x=log 100

( log x )^2 + log x = 2
( log x )^2 + log x - 2 = 0
( log x + 2 ) ( log x - 1 ) = 0
log x + 2 ,= 0
log x = -2 ,log x = log 10^-2 => x = 1/100
log - 1 = 0.
log x = 1
log x = log 10
x = 10.
HP = { 1/100, 10 }

log ²x + log x = log 100
log ²x + log x = 2

misalkan
y = log x
maka

y² + y - 2 = 0
(y + 2)(y - 1) = 0

y = -2
log x = -2
x = 1/100

y = 1
log x = 1
x = 10

jadi HP : {1/100 , 10}