Question 749564
Recognize that logarithms are to the same base, 4, so the inputs of both logarithms are the same.

If {{{log(4,x^2+6)=log(4,5x)}}}, 
then{{{ x^2+6=5x}}}.


{{{x^2-5x+6=0}}}
{{{(x-2)(x-3)=0}}}
Either {{{highlight(x=2)}}} Or {{{highlight(x=3)}}}.