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journey
journey asked in Science & MathematicsMathematics · 1 decade ago

Solve Exponential Functions?

Solve each exponential function for x.

(1) f(x) = 5^(1 - 2x) = (1/5)

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

2 Answers

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  • teddy boy
    Lv 6
    1 decade ago
    Favorite Answer

    (1) f(x) = 5^(1 - 2x) = (1/5)

    5^(1 - 2x) = 5^-1

    Therefore,

    (1 - 2x) = -1

    - 2x = -1 -1

    - 2x = -2

    x = -2/-2

    x = 1 ANS

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

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

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

    Therefore,

    - 2x = -1

    x = -1/-2

    x = 1/2 ANS

    teddy boy

  • Valithor
    Lv 4
    1 decade ago

    5^(1-2x) = 1/5

    5^(1-2x) = 5^(-1)

    1-2x = -1

    x = 1

    ******************

    9^(-x) = 1/3

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

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

    -2x = -1

    x = 1/2

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