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Math Help - Logarithms

  1. #1
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    Question Logarithms

    How would I find the inverse of

    <br />
y=f(x)=4^{x}+7?
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  2. #2
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    Quote Originally Posted by juicysharpie View Post
    How would I find the inverse of

    <br />
y=f(x)=4^{x}+7?
     <br />
y = 4^x + 7<br />

    swap variables ...

    x = 4^y + 7

    solve for y ...

     <br />
x - 7 = 4^y<br />

     <br />
\log_4(x-7) = \log_4(4^y)<br />

     <br />
\log_4(x-7) = y<br />
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