Question 870234
The goal is, solve the equation for x.  You must use a couple of logarithm properties.  


{{{2log((50))-3log((25))=log((x-2))}}}, arrange constants on one side, and variables on other side;
At this stage, best thing is KNOW what base you are using and get the values of the constants, and put into exponential form and ... find x.


Otherwise, maybe continue arithmetic steps according to number properties;
{{{log((50^2))-log((25^3))=log((x-2))}}}, log of a number raised to a power;
{{{log(((50^2)/(25^3)))=log((x-2))}}}, add or subtract logs;
{{{highlight_green(log(((2/5)^2))=log((x-2)))}}}
You now need to know what base you want.  The solution depends on what base is supposed to be used.