Solve 2In x Inx6Solution2In x Inx6 Use the log property aln

Solve

2In x =In(x-6)

Use the log property : a*lnx = ln(x^a)

So, lnx^2 = ln(x-6)

equate the arguments inside the log on both sides:

x^2 = x-6

x^2 -x +6 =0

Solve by quadratice formula:

x = ( 1+ /- sqrt(1 -24) )/2

x = ( 1 +/- i*sqrt23 )/2 = 1/2 + /- i*sqrt(23)/2