Pre-Knowledge

Logs can be thought of as having a base and an input value. For example, in the expression: log (8) the base is 2, and the input value is 8. In the function: f(x)=log (x) the base is 3, and the input value is x.

Consider examples like f(x)=log(x2) or f(x)= log(x+3).

1. What is the restriction(s) on the input values in these functions?

2. Why does that make sense?

3. How does the restriction on the input value relate to the key features of function?

4. Explain your reasoning, and include Desmos graphs.

Note: Make sure to include thorough detail and examples.