Log3 (7x-11) =4 log2 (x-7) - log2 (11-x) = 0

Question

Log3 (7x-11) =4
log2 (x-7) - log2 (11-x) = 0

Answer 1

Log3_ (7x-11) =4;
 7x - 11 = 3^4;
 7x - 11 = 81;
7x =92;
 x = 92/7;
log2_ (x-7) - log2_ (11-x) = 0 ;
log2_(x-7)  = log2_(11-x);
x - 7 = 11 - x;
2x = 18;
 x = 9,