Question

log3(x+2) - log3(x-4)=1

Answer 1

Log₃(x+2) - log₃(x-4)=1
⇒log₃ (x+2)/(x-4)=1 
⇒(x+2)/(x-4)=3
⇒ x+2 = 3x-12
⇒ x = 7

Reguli:
logₓy=a ⇔ y=xᵃ
logₓy - logₓz = logₓ (y/z)