Question 478711
I am sorry, but all incorrect
Your error - you incorrect use formula {{{log(c,a)+log(c,b)=log(c, (ab))}}}
{{{5^logx=50-x^log5}}}
Let {{{t=5^logx}}}
then {{{logt=log((5^logx))}}} Formula {{{log(c,a^n)=n*log(c,a)}}}, so
{{{logt=logx*log5}}} or {{{logt=log5*logx}}} we can write it in this way {{{logt=log((x^log5))}}}, then {{{t=x^log5}}}
So {{{5^logx=x^log5}}}
Substitute in equation
{{{5^logx=50-5^logx}}}
{{{5^logx+5^logx=50}}}
{{{2*5^logx=50}}}
{{{5^logx=50/2}}}
{{{5^logx=25}}}
{{{5^logx=5^2}}}
{{{logx=2}}}
{{{x=10^2}}}
{{{x=100}}}