2•log (x - 3) = log 25

Step-by-step explanation:

2log (x-3) = log25

log (x-3) ²=log25 cancel out log on both sides

(x-3) ²=25

x²-6x+9=25

x²-6x+9-25=0

x²-6x-16=0 factorize

x²+2x-8x-16=0

x (x+2) - 8 (x+2)

(x-8) (x+2) = 0

x-8=0 or x+2=0

x=8 or x=-2

x=-2 cannot be considered because of the - ve sign.

x=8.

check

2log (x-3)

2log (8-3)

2log5

log5²=25

therefore LHS=RHS