1) Solve the equation exactly for x:
log3 x - log3(x-3) = 2
I got 1 as an answer. Is this correct?
2) Find the cotangent of the base angle of an isosceles right triangle.
sqrt3 / 2. Is this correct?
1) it is not correct. The second term would be log3(-2) and you can't take the log of a negative number.
2) it is not correct. The base angle would be 45 degrees, so the cotangent would be 1.