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Math Help - Expontial functions

  1. #1
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    Expontial functions

    How does 9^x=3 nine to the x = 3

    (1/9)-x 3^2=9
    (1/3)^-2=9

    answer should be 9^(1/20
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  2. #2
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    Re: Expontial functions

    Quote Originally Posted by Melcarthus View Post
    How does 9^x=3
    answer should be 9^(1/2)


    \sqrt{9}=(9)^{\tfrac{1}{2}}=3
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  3. #3
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    Re: Expontial functions

    He4llo, Melcarthus!

    I have no idea what your steps mean.


    \text{How does }\,9^x\,=\,3
    (1/9)-x \qquad\qquad 3^2\,=\,9 . ?
    . . . . . . . . . . . . \left(\tfrac{1}{3}\right)^{-2}\:=\:9 . ?

    \text{Answer should be: }\:9^{\frac{1}{2}} . . . . no

    We have: . 9^x \;=\;3

    . . . . . . (3^2)^x \;=\;3

    . . . . . . . 3^{2x} \;=\;3^1

    Hence: . . 2x \;=\;1

    . . . . . . . . x \;=\;\tfrac{1}{2}
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