Question

2 log x = log (2x-3) + log 3

Answer 1

Resposta:

S={ 3 }

Explicação passo-a-passo:

2 log x = log (2x-3) + log 3

log x² - log (2x-3)=log 3

log x²/(2x-3)= log 3

x²/(2x-3)= 3

x²=3.(2x-3)

x²=6x-9

x²-6x+9=0

a=1

b=-6

c=9

∆=b²-4.a.c

∆=(-6)²-4.(1).(9)

∆=36-36

∆=0

x'=x"=-b/2a=-(-6)/2.(1)=6/2= 3