Question 452520
={{{log(4, (6x+1))-log(4, x^2)=log100}}}=>{{{log(4, (6x+1)/x^2)=log100}}}=>

=>{{{(6x+1)/x^2=100}}}=>{{{6x+1=100x^2}}}=>{{{100x^2-6x-1=0}}}, solving this  

quadratic equation we get {{{x=(6+-sqrt(36+400))/(2*100)}}}. 

You can continue the arithmetic and check the solutions.