\(\log \tan 3 ^\circ+\log \tan 6 ^\circ+ \cdots +\log \tan 87 ^\circ\)

Algebra Level 2

Evaluate \[\log \tan 3 ^\circ+\log \tan 6 ^\circ+\log \tan 9 ^\circ+ \cdots +\log \tan 87 ^\circ.\]

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