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Math Help - logarithmic differentiation

  1. #1
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    Question logarithmic differentiation

    Use logarithmic differentiation to find the derivative of f.

    f(x)=(3+x)^(2x)

    i have 2x ln (3+x)

    but i don't know where to go from there...
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  2. #2
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    y=(3+x)^{2x}

    ln(y)=2xln(3+x)

    \frac{y'}{y}=\frac{2x}{x+3}+2ln(x+3)

    Now, solve for y and remember what y equals.
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  3. #3
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    I got

    y'=(3+x)^(2x)*((2x)/(x+3)+2ln(x+3))
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  4. #4
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    That's it.
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