The logos are written in Katakana, the Japanese dialect used for foreign words.
The one on the left, with a white face and black font, says ポケットモンスターブラック-Poketto Monsutaa Burakku-Pocket Monsters Black
The one on the right, with a black face and white font, says ポケットモンスターホワイト-Poketto Monsutaa Howaito-Pocket Monsters White
So those are indeed matched up with Black having Black City and White having White Forest.