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 Log in  — To sign in to your account on a website or computer

Don’t forget to log in to your account to learn English better and faster.

Log out  / Log off  — To sign out of your account

You should always log out of your accounts when you use a public computer.

Look up  — To check the meaning of something

If you don’t know the meaning of a word, you should look it up in the dictionary.

Look out  — To watch out for something

Look out, there’s a baseball coming your way.

Lay off : To terminate someone's employment             The company had to lay off several employees due to financial problems. 

Leave out : To omit or exclude. 

          She accidentally left out an important detail in her report. 

Let down :To disappoint or fail someone. 

           He promised to help, but he let us down when he didn't show up.

Let in :To allow someone to enter. 

           Please let me in the room; I forgot my key. 

Let off : To release or excuse from a punishment. 

          The police officer decided to let him off with a warning. 

Look after :To take care of or watch over. 

        She needs to look after her younger siblings while their parents are away.  

Look down on :To view with contempt or consider inferior. 

       She looks down on people who don't have a college education. 

Look forward (to) :To anticipate or be excited about. 

           I'm really looking forward to our vacation next month. 

Look into : To investigate or examine

        The authorities will look into the matter and take appropriate action. 

Look out : for To watch or be vigilant for something or someone 

        Look out for any signs of danger. 

Look up to :To admire or respect someone. 

         I look up to my older sister for her achievements.