Question

I don't know which graph it would be - please help!

Which of the following represents the graph of the function f(x) = log 3 x - 2 ?

Answer 1

@jazy

Answer 2

I don't know, sorry. :/ Maybe @hartnn @rajathsbhat @ZeHanz

Answer 3

@RobZBHayes

Answer 4

I think with "log 3 x - 2", you mean \(\log_{3}(x) -2\).
This would mean we are looking for a graph that is a log base 3 and then moved down 2 units.
The "normal" \(\log_3(x)\) would go through (3, 1) and (9, 2), because \(\log_3(3)=1\) and \(\log_3(9)=2\). Because our graph has been moved down 2 units, we have to find a graph through (3, -1) and (9, 0).

Looking at the somewhat blurry pictures ;), I'd go for nr 4.

Answer 5

Here is the graph (including the graph of \(\log_3(x)\)). The red graph is the one you need.

Answer 6

3^(x-2)

Answer 7

thank you for that explanation @ZeHanz

Answer 8

YW!