Question

Explain how to use the graph of f(x) = 2x to obtain the graph of g(x) = log2x.

Answer 1

well, do you really that g(x) = log(f(x))?

Answer 2

yea

Answer 3

Now, now y=2x is a graph that is steeper than y=x. means, y increases more rapidly in this case.
so if the argument of log (i.e. '2x') increases faster, the graph of log2x moves like: