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anonymous

  • one year ago

Given the function f(x) = 3^(x), find the value of f^(-1)(81).

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  1. anonymous
    • one year ago
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    We need the inverse again. Remember how?

  2. anonymous
    • one year ago
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    y = 3^x x = 3^y Solve for y from here.

  3. anonymous
    • one year ago
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    What are your answer choices I am getting something weird

  4. anonymous
    • one year ago
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    f^(-1)(81) = 1 f^(-1)(81) = 2 f^(-1)(81) = 3 f^(-1)(81) = 4

  5. anonymous
    • one year ago
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    so would it just be C?

  6. anonymous
    • one year ago
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    I get inverse = \[\frac{ \ln (x) }{ \ln (3) }\]

  7. anonymous
    • one year ago
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    \[\frac{ \ln (81) }{ \ln (3) }\]

  8. anonymous
    • one year ago
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    i'm kind of confused as to how you got that

  9. anonymous
    • one year ago
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    hold on one second

  10. anonymous
    • one year ago
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    okie dokie

  11. anonymous
    • one year ago
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    to be honest, I just checked it on an inverse calculator and that's what i got, so

  12. anonymous
    • one year ago
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    I think the answer will be 4. I put in ln81 and got 4.39444915467 and ln3 and got 1.09861228867 Divide them: 4.39444915467/1.09861228867 = 3.999999 So 4

  13. anonymous
    • one year ago
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    Hope that is ok...

  14. anonymous
    • one year ago
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    ah okay i see what you did now

  15. anonymous
    • one year ago
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    ok cool

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spraguer (Moderator)
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