Solve for x in the equation ln(16-12x)-2lnx)= ln4

Answer 1

ln [ (16-12x)/x^2 ] = ln 4
(16-12x)/x^2 = 4
4x^2 = 16-12x
x^2 + 3x - 4 = 0
(x+4)(x-1) = 0
x = -4 or x=1

but if x = -4 , 2lnx in the original equation is not defined, so

x = 1