Logs and Inverses

This week we went through logs and inverses.
Having never worked with these i was completely new at this.
I tried my best to understand this and if i understood correctly then 4 concepts i learned were;

Logs are the opposite of squares and when used correctly we can use them to get rid of them


ummm also inverses are reflected about the y=x line also if a function is one-to-one then that means that their inverse is also a funtion,

i am still on very skaky ground when understanding the concepts and the practice of logs and inverses. graphically i understand it, but when it comes to the concrete math portion i still have alot of trouble understanding how to work with logs :/


good night