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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 answer

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.
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