Errors in CAS and Geometry

[Jan 11]

I'd like to report any bugs in equation solving where LN (x) and LOG (x) appear. This applies to the CAS computing module.
Let me give you some examples:
1. Solve (x ^ 2 - 30 = LN (x - 2)). The equation has two solutions, the calculator gives only one solution, x = {5.59}. He doesn't find the second solution, x = 2.
2. Solve (x ^ 2 -6) = LN (x ^ 2 - 3)). There are 4 solutions and they were all given correctly: {-2.74, -1.75, 1.75, 2.74}. This is ok.
3. Solve (x ^ 2 - 30 = LOG (x-2)). There are 2 roots {2, 5.53}, but the calculator only gives one root {5.53}, the second is x = 2, it doesn't.
4. Solve (x ^ 2 - 20 = LOG (x ^ 2 -3). There are 4 roots {-4.61, -1.73, 1.73, 4.61}. The calculator only finds two {-4.61, 4.61}.
And now I want to show you similar errors occurring in the Geometry application.
1. I am looking for intersections for the functions y = x ^ 2 -10 and y = LN (x). There are two intersection points and both are shown. OKAY
2. I am looking for the intersection points for the functions y = x ^ 2 -10 and y = LN (x + 2). There are two intersection points, but the calculator finds only one.
3. I am looking for intercepts for the functions y = x ^ 2 -10 and y = LN (x ^ 2 - 2). There are 4 intersection points, but the calculator only finds 2 intersections
4. Similar errors occur for the LOG (x) function.
I think the above bugs will be fixed in the next update.