anonymous
  • anonymous
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
Mathematics
chestercat
  • chestercat
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misty1212
  • misty1212
HI!!
misty1212
  • misty1212
you cannot take the log of a number that is not positive
misty1212
  • misty1212
so find the one that says "positive numbers"

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misty1212
  • misty1212
\[\log_9(x)=y\iff 9^y=x\] and since \(9^y\) is always positive, that means \(x\) must always be positive
anonymous
  • anonymous
a. is \[x \ge 0\]
misty1212
  • misty1212
oh no
misty1212
  • misty1212
you cannot take the log of zero since \(9^y>0\) always
welshfella
  • welshfella
no 0
anonymous
  • anonymous
so what is it
DanJS
  • DanJS
Graph y=log(x) and take a look what it does
DanJS
  • DanJS
notice the values x can take on
DanJS
  • DanJS
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DanJS
  • DanJS
The valeues of the base just squishes it in the vertical Y direction ...

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