If you mean "journal" as in "diary," then 日記／日誌 are the right words. On the other hand, if you mean "book-keeping journal," then 仕訳／仕訳帳 is the right word ... :)

日記 is common. 仕訳 doesn't mean a diary or journal. It means journalising in bookkeeping, or an individual journalizing in books. As Brian said, 日誌 is also common. It is usually used for an official journal, such as a log book and a class journal. 日記 is used when you record your personal experiences and observations.

log, news ＝ ジャーナル

If you mean a diary, you can say "日記or日誌". If you mean a daybook（bookkeeping）, you can say "仕訳帳". If you mean a newspaper, you can say "新聞".