Question 7714
difference of logarithms is logarithm of the fraction

{{{ln(x + 5) – ln(3) = ln(x – 3)}}}

{{{ln( (x+5)/3 ) = ln( x-3) }}}

two logarithms can be safely removed

{{{(x+5)/3 = x-3 }}}
multiply both sides by 3
{{{x+5 = 3x-9}}}
{{{14=2x}}}

x=7.