Suppose a program takes $20$ milliseconds to process input of size $10,000.$ If the runtime

is $T(n)=log(n),$ where $n$ is the input size, how long will the program take to process

input of size $...($see below$)$

a$)100,000,000?$

b$)100?$

C$)10?$

Justify your answers using the applicable rules of thumb.