Question

Find the domain of the logarithmic function f(x) = log4 (x – 3).
A. Any real numbers
B. Positive real numbers
C. Negative real numbers
D. x > 3

Answer 1

I think it's A.

Answer 2

logarithmic functions don't like negative numbers

Answer 3

\(\log (anything)\)

\(anything\) has to be positive always, actually logs don't like 0 also, so :

\(anything \gt 0\)

Answer 4

So it's positive real numbers?

Answer 5

\(x-3 \gt 0 \)

solve \(x\)

Answer 6

x > 3

Answer 7

yes !