Thread: Logarithim log(2x-3)+log(x-4)=1

I need help solving for x.
log(2x-3)+log(x-4)=1

Use the fact that the logarithm of a product is the same as the sum of the logarithms: log(ab) = log(a) + log(b).
This comes from the fact that .

log(2x-3)+log(x-4)=1
log ((2x-3)(x-4))=1
10=(2x-3)(x-4)
0=2x^2 -11x +2, quadratic formula.