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I need help finding the inverse of f(x)=7^3x-5 with work shown.

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2 answers

  1. your f(x)=7^3x-5 is ambiguous

    did you mean it the way your typed it or
    f(x)=7^(3x-5)

    The way you typed it:

    let y = 7^3x - 5
    y + 5 = 7^(3x) , another ambiguity, the way you typed it, it would be
    (7^3)(x)
    I will go with my last interpretation.

    y + 5 = 7^(3x)
    step 1 is to interchange the x and y variables , so we get
    x + 5 = 7^(3y)
    step 2 is to solve this new equation for y, this requires logs

    log(x+5) = log ( 7^(3x) )
    log(x+5) = 3x(log7)
    x = log(x+5)/(3log7) , x > 5

    if you meant y = 7^(3x-5)
    then we get x = 7^(3y-5), and now take logs of that etc.

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  2. jgip87opgpy8iu

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