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anonymous

  • one year ago

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

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  1. misty1212
    • one year ago
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    HI!!

  2. misty1212
    • one year ago
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    you cannot take the log of a number that is not positive

  3. misty1212
    • one year ago
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    so find the one that says "positive numbers"

  4. misty1212
    • one year ago
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    \[\log_9(x)=y\iff 9^y=x\] and since \(9^y\) is always positive, that means \(x\) must always be positive

  5. anonymous
    • one year ago
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    a. is \[x \ge 0\]

  6. misty1212
    • one year ago
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    oh no

  7. misty1212
    • one year ago
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    you cannot take the log of zero since \(9^y>0\) always

  8. welshfella
    • one year ago
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    no 0

  9. anonymous
    • one year ago
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    so what is it

  10. DanJS
    • one year ago
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    Graph y=log(x) and take a look what it does

  11. DanJS
    • one year ago
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    notice the values x can take on

  12. DanJS
    • one year ago
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    |dw:1435758697923:dw|

  13. DanJS
    • one year ago
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    The valeues of the base just squishes it in the vertical Y direction ...

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