Question 104232
{{{log( x )^2 = log(2) + log(5x-8)}}}
{{{log( x )^2 = log(2)(5x-8)}}}
you can write
{{{( x )^2 = (2)(5x-8)}}}
{{{( x )^2 = 10x-16}}}
{{{( x )^2-10x+16=0}}}

x1={{{(10-sqrt(100-64))/(2)}}}
  = {{{(10-6)/2}}}
  ={{{2}}}
x2={{{(10+sqrt(100-64))/(2)}}}
  = {{{(10+6)/2}}}
  ={{{8}}}

SO THERE ARE TWO SOLUTION 
8 AND 2