Question 473408
Use log property: {{{log a - log b = log (a/b)}}} to combine left side into a single log.
{{{log ((4+x)/(x-4)) = log 3}}}
Rewrite equation in exponential form, Or notice that if log(a)=log(b) then a=b
{{{(4+x)/(x-4) = 3}}}
Multiply by (x-4) on both sides
{{{4+x = 3(x-4)}}}
Distribute
{{{4+x = 3x - 12}}}
Subtract 3x on both sides
{{{4 - 2x = -12}}}
Subtract 4 on both sides
{{{-2x = -16}}}
Divide by -2 on both sides
{{{x = 8}}}