Question 911358
{{{2log(3,(x)) = 1+log(3,(18-x)) }}}...  in base {{{10}}} will be

{{{(2 log(x))/(log(3)) = (log((18-x)))/(log(3))+1}}}


{{{2 log(x)= log(3)*(log((18-x))/log(3))+1(log(3))}}}


{{{2 log(x)= cross(log(3))*(log((18-x))/cross(log(3)))+1(log(3))}}}


{{{2 log(x)= log((18-x))+log(3)}}}


{{{ log(x^2)= log((3(18-x)))}}}


{{{x^2= 3(18-x)}}}


{{{ x^2= 54-3x}}}


{{{x^2+3x-54=0}}}


{{{x^2-6x+9x-54=0}}}


{{{(x^2-6x)+(9x-54)=0}}}


{{{x(x-6)+9(x-6)=0}}}


{{{(x+9)(x-6)=0}}}


since log, we need only positive solution 

 if {{{(x-6)=0}}} => {{{x=6}}}