Question 922811
{{{log(2,((3x-4)))+log(2,((5x-2)))=4}}}
{{{log(2,((3x-4)(5x-2)))=4}}}
{{{(3x-4)(5x-2)=16}}}
{{{15x^2-6x-20x+8=16}}}
{{{15x^2-26x-8=0}}}
{{{(x-2)(15x+4)=0}}}
Only the positive solution will be considered since the argument for the log function must be positive.
{{{x-2=0}}}
{{{highlight(x=2)}}}