Solutions

LM-C08-C-001

log(1) = 0, so -log(1) = 0.

LM-C08-C-002

2 + 2 + 4 + 4 = 12, and 12 / 4 = 3.

LM-C08-C-003

With base-2 logs, perplexity is 2^4 = 16.

LM-C08-C-004

Bits per byte is 30 / 10 = 3.

LM-C08-C-005

No. Validation text is used while choosing settings. The final test split should remain separate.