The number of points awarded in each round of a game can be represented by f(x)=2^x where x represents the number of the round. What is x when f(x)=16

We can use systems of linear equations to solve this.

Remember: f(x) = y

[tex] \left \{ {{y=2^x} \atop {y=16}} \right. [/tex]

Input 16 for y.

[tex]16= x^2[/tex]
Get the square root of 16.
4 = x

The equation is f(4) = 2^4 when x is 16.