O a. -3
Ob. 2
O C. -6
O d. 1/3
O e. 1/2
Jika x₁ dan x₂ adalah penyelesaian persamaan (log3x)²+log3x=6 maka X₁ X₂ =…
Jawaban :
x1x2 = 1/90
Pembahasan :
log² 3x + log 3x = 6
log² 3x + log 3x – 6 = 0
a = 1 ; b = 1 ; c = -6
akar-akar : log 3×1 dan log 3×2
log 3×1 + log 3×2 = -b/a
log (3×1 . 3×2) = -1/1
log 9x1x2 = -1
9 x1x2 = 10^-1
x1x2 = 1/(9 × 10)
x1x2 = 1/90