ln(x)+ln(x+4)=ln(48/4)

Solution for ln(x)+ln(x+4)=ln(48/4) equation:

D( x )

x <= 0

x+4 <= 0

x <= 0

x+4 <= 0

x+4 <= 0

x+4 <= 0 // - 4

x <= -4

x in (0:+oo)

ln(x)+ln(x+4) = ln(48/4) // - ln(48/4)

ln(x)+ln(x+4)-ln(48/4) = 0

ln(1*x)+ln(x+4)-ln(12) = 0

ln(1*x*(x+4))-ln(12) = 0

ln(1*x*(x+4))+ln(1/12) = 0

ln(1*x*(x+4))+ln(1/12) = 0 // - ln(1/12)

ln(1*x*(x+4)) = -ln(1/12)

1*x*(x+4) = 1/1/12

1*x*(x+4)-(1/1/12) = 0

x*(x+4)-12 = 0

x*(x+4)-12 = 0

x^2+4*x-12 = 0

x^2+4*x-12 = 0

x^2+4*x-12 = 0

DELTA = 4^2-(-12*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)-4)/(1*2) or x = (-64^(1/2)-4)/(1*2)

x = 2 or x = -6

(x+6)*(x-2) = 0

(x+6)*(x-2) = 0

( x+6 )

x+6 = 0 // - 6

x = -6

( x-2 )

x-2 = 0 // + 2

x = 2

x in { -6} 

x = 2