Nov 1, 2018

what is the asymptotic relationship between logarithmic functions?

Functions, $\mathrm{lg}n$ and log, start subscript, 8, end subscript, n, what is the asymptotic relationship between these functions?
Select all that apply.
Select all that apply.
Hint #1
To answer this, we need to think about the function, how it grows, and what functions bind its growth.
Both $\mathrm{lg}n$ (log, start subscript, 2, end subscript, n) and log, start subscript, 8, end subscript, n are functions with logarithmic growth, with their base as the only difference. Here's a graph of the two functions:

So all 3 choices are correct.