A repeated logarithmic root

A repeated logarithmic root

5 marks
TGM Original
Solve (ln x)2=ln(x2)-1. A student also gives x=- e. Explain whether this extra value is valid.

Solution:

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Answer:\(x=\mathrm e\) only; \(-\mathrm e\) makes \(\ln x\) undefined over the reals.

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