cut, sawn
a pile of sawn logs

fallen
The road was blocked by fallen logs.

rotting
blazing, burning
floating
cedar, oak, pine, etc.

chop (BrE), saw, split
haul
They haul the logs into the sawmill.

add, throw, throw on
I added another log to the fire.
The fire is dying down—would you throw on another log?

blaze, burn, crackle
logs crackling in the fireplace

float

cabin, house (esp. AmE)
fire

detailed
daily
captain's, ship's
Web (usually weblog or blog)
He maintains two weblogs on economic topics.

phone (esp. AmE), server (computing)
The lawyers will review phone logs and other records.

error (computing)
I checked the server's error logs.

keep, maintain
She kept a log of their voyage.

update
This feature continuously updates the log as data is written.

check, examine

book, sheet
entry