Question

2 log na base 2 (x - 1) = log na base 2 (5x - 11).

Answer 1

2 log 2 (x - 1) = log 2 (5x - 11)

log 2 (x - 1)² = log 2 (5x - 11)

(x-1)² = (5x-11)

x²-2x+1 - 5x+11=0

x² -7x +12=0

∆=49-48=1

x' = 7+1/2 = 4 ✓

x" = 7-1/2= 3 ✓