1. Hasil kali akar2 persamaan 2log (x^2 – x + 1) = 5log (x^2 – x + 1) adalah..

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2. Nilai x yg memenuhi persamaan 3^2log x = 2 . 3^2log x -9 adalah..

3. Nilai x yg memenuhi persamaan 3log (4/9 – 3^x) = x-1 adalah..

4. Nilai x yg memenuhi persamaan xlog 2 / 2log x – 4 = -1/3

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1. Hasil kali akar2 persamaan 2log (x^2 – x + 1) = 5log (x^2 – x + 1) adalah..

Jawaban Terkonfirmasi

1). ²log (x²-x+1) = ⁵log (x²-x +1)
basis berbeda –> maka  x² -x +1 = 1
x² – x = 0
hasilkali akar akarnya  x1 x2=  c/a = 0

2) 3^(²log x) =  2. 3^(²log x)  - 9
misal 3^(²log x) = a
a = 2a – 9
a = 9 —> 3^(²log x) = 9 = 3^2
²log x = 2 –> x = 4

3)
³log (4/9  - 3ˣ) = x – 1
3^(x-1) = 4/9 – 3^x
1/3. 3^x = 4/9 – 3^x
1/3 (3^x) + (3^x) = 4/9
(4/3) (3^x) = 4/9
3^x = 1/3 = 3^-1
x = – 1