Inspired by Jake Lai

Algebra Level 2

It is well known that ln2<ln3 \ln 2 < \ln 3 . Which of the following is bigger:

[ln(ln2)]2 or [ln(ln3)]2? [ \ln ( \ln 2 ) ] ^2 \text { or } [ \ln ( \ln 3) ]^2 ?


Inspiration, see solution.

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