Describe a example in society where logarithms with base two is easier to use than base ten... and then when base ten is easier then base two.

This isn't quite algebra, but since this fits right in with my knowledge, I'll answer it.

So base 2. If you don't know what that is, it's binary numbers - written only with 1 and 0. Binary numbers are usually specifically used for one general subject, a specific kind of science. I'll leave it to you to figure out what kind of science that is.

Base 10 is the number system that we use for pretty much everything else, you know, when you use the digits 0-9. You're surrounded by examples of the usage of Base 10.

Can you think of how and when binary numbers are used? Try googling binary numbers, and try to find out what branch of science they're used in.

Also, think about how and when we use base 10 numbers(hint: almost everything).