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18 October, 17:47

Find the inverse of y=0.3^x

Due by May 29 and I'm terrible at math, so if you could also explain that'd be absolutely wonderful!

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  1. 18 October, 21:16
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    x = ln y / ln 3.

    Step-by-step explanation:

    Finding the inverse means converting the equation to x = a function of y.

    y = 0.3^x

    Taking logs:

    ln y = ln 0.3^x

    By the laws of logs:

    ln y = x ln 0.3

    x = ln y / ln 3 is the inverse.
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