Question 440270
 ={{{log(2, (5x-1))-log(2, (x+7))=log(2, 2)}}} =>

{{{log(2, (5x-1)/(x+7))=log(2, 2)}}},

{{{(5x-1)/(x+7)=2}}}, solve this rational equation. Assume x different from -7,

multiply both sides by x+7 {{{5x-1=2(x+7)}}}=> {{{3x=15}}}=> {{{x=5}}}.

Done.