Log (x -8) + Log(x -2) = Log (8 -x)
Log (x - 8)(x-2) = Log (8 -x) cancelamos los log
(x - 8 ) (x - 2) = ( 8 - x)
x² - 2x - 8x + 16 = 8 -x
x² - 10x + 16 - 8 + x = 0
x² - 9x + 8 = 0
aplicamos Bascara
–b ± √ b² – 4ac
x = ▬▬▬▬▬▬▬ donde a =1 b = - 9 c = 8
2a
9 ± √81 – 4(1)(8)
x = ▬▬▬▬▬▬▬
2(1)
9 ± √81 –32
x = ▬▬▬▬▬▬▬
2
9 ± √49
x = ▬▬▬▬▬▬▬
2
9 ± 7
x = ▬▬▬▬▬▬▬
2
x1= (9+7)/2 → x1= 16/2 → x1= 8
x2= (9-7)/2 →x2= 2/2 → x2= 1
espero que te sirva, salu2!!!
