How do you solve:

Question

log2(x-1)+log2(x-2)=1

I got up to x^2-3x=0

Is it no solution or does it become x(x-3)?

Thanks!

Answer 1

x(x-3) = 0

x=0 or 3

but, x=0 does not satisfy the original equation, so the only solution is x=3