Question

Himpunan penyelesaian persamaan 2log x = log 3 + log(x+6) adalah..?

Answer 1

2. log x = log 3 + log (x+6)
log x² = log 3(x+6)
x² = 3(x+6)  dengan batas x >0 ∩ x + 6 > 0 --> x > 0
x²- 3x - 18 = 0
(x - 6)(x+3)= 0
x = 6 atau x = - 3
krn x > 0  ,maka x = 6