Response to a question because that question is locked...

Re: https://web2.0calc.com/questions/this-is-for-max

$3\log(x - 2) = \log(2x) - 3\\ \log\left((x-2)^3\right)=\log\left(\dfrac{2x}{10^3}\right)\\ (x-2)^3=\dfrac{x}{500}\\ x^3 - 6x^2+12x-8 =\dfrac{x}{500}\\ 500x^3-3000x^2+5999x-4000=0\\ \text{The only real solution for x is }x = 2.162938888053492\\ \text{Luckily I have a cubic equation solver app XDDD}$