- #1

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ln x^n = n ln x

Which is all nice and well until I tried

ln(x + 6) = 2 ln x

which is true for x = 3.

however, 2 ln x = ln x^2 .. so

ln(x + 6) = ln x^2

.. which is true for x = 3 AND x = -2.

so the two different ways to write the ln expression are not really equivalent.

I'm not quite sure what to make of this. It just feels wrong.

k