Thanks. Still confused, though. They seem so close and almost non-recognizable to me.Does any accent use both of those? In BrE both words have a short /ɒ/, with the lips rounded. In AmE, 'hot' has long /ɑ:/, with unrounded lips, and depending on the accent, 'dog' has either that same sound or /ɔ:/, also rounded, but higher in the mouth than the BrE vowel. So whichever accent you're speaking with, you can use the same vowel in both words.
The phonetic symbols [ɒ] and [ɑ] have the tongue in the same place. They differ in the lip rounding.
The Longman Dictionary: hot | meaning of hot in Longman Dictionary of Contemporary English | LDOCEWhere did you find the two different pronunciations of the vowels in these two words?
I grew up in the northeast and I'm the sameFor me both log and dog have a vowel that I would spell aw, because it's how I pronounce the word awe. So do frog, bog, hog, grog, &c.