I understand the following two identities, however could use guidance on on this applies to multiplication of numbers. I think the antilog() gets applied somewhere after the result of $log\_b(x) + log\_b(y)$ is established, but am not sure.

Can anyone provide an example? 

Thank you

[![A](https://i.stack.imgur.com/3JEch.png)](https://i.stack.imgur.com/3JEch.png)
[![B](https://i.stack.imgur.com/Yuo6V.png)](https://i.stack.imgur.com/Yuo6V.png)