Question

Jika 2Log(pangkat2)X -- 3. 2log X -- 10 = 0 mempunyai akar-akar x1 dan x2, maka nilai x1.x2 =

Answer 1

2log^2(x) - 3. 2log(x) - 10 = 0
*cttn 2 itu basisnya
misalkan 2log(x) = a
a^2 - 3a - 10 = 0
(a-5) (a+2) = 0

* a-5 = 0
a = 5
2log(x) = 5
2log(x) = 2log 2^5
x = 2^5

* a+2 = 0
a = -2
2log(x) = -2
2log(x) = 2log2^-2
x = 2^-2
x = 1/2^2

x1.x2 = (2^5).(1/2^2) = 2^3 = 8