認める

1. ichidan verb, transitive to recognize; to recognise; to observe; to notice
2. to deem; to judge; to assess
3. to approve; to deem acceptable; to allow
4. to admit; to accept; to confess (to a charge)
5. to watch steadily; to observe carefully
6. to renown; to give renown to; to appreciate; to acknowledge

したためる

1. ichidan verb, transitive, usually in kana to write (e.g. a letter); to draw up (a document); to take down (e.g. notes)
2. usually in kana to have (lunch, dinner, etc.); to eat