Question

Which answer represents the domain of the logarithmic function given below?

F(x) = log9 x

A. x 0
B. x < 0
C. x > 0
D. All real numbers

Answer 1

HI!!

Answer 2

you cannot take the log of a number that is not positive

Answer 3

so find the one that says "positive numbers"

Answer 4

\[\log_9(x)=y\iff 9^y=x\] and since \(9^y\) is always positive, that means \(x\) must always be positive

Answer 5

a. is \[x \ge 0\]

Answer 6

oh no

Answer 7

you cannot take the log of zero since \(9^y>0\) always

Answer 8

no 0

Answer 9

so what is it

Answer 10

Graph y=log(x) and take a look what it does

Answer 11

notice the values x can take on

Answer 12

The valeues of the base just squishes it in the vertical Y direction ...