Question

In there a difference between log(x-3) or log x-3 ?

Answer 1

yes.. in log (x-3), you're "logging" (x-3). However, in log x - 3, you're just "logging" x.

does that help?

Answer 2

Yeah,
\[(\log (x-3))\]
\[(\log x)- 3\]

Answer 3

yes it does thank you:)

Answer 4

also.....
compared to \(\large y=logx \)
\(\large y=log(x-3) \) is a horizontal shift to the right 3 units.
\(\large y=logx-3 \) is a vertical shift 3 units down.