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Math Help - How would I solve for x?

  1. #1
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    How would I solve for x?

    1000 = 50(2)^(x/2)

    How would I solve for x? I'm confused about how to get rid of the exponent part so I can isolate x
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  2. #2
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    Quote Originally Posted by kmjt View Post
    1000 = 50(2)^(x/2)

    How would I solve for x?
    1000 = 50 \cdot 2^{\frac{x}{2}}

    divide both sides by 50 ...

    20 = 2^{\frac{x}{2}}

    square both sides ...

    400 = 2^x

    take the log of both sides ...

    \log(400) = \log(2^x)

    use the power property of logarithms ...

    \log(400) = x \cdot \log(2)

    divide both sides by \log(2) ...

    \frac{\log(400)}{\log(2)} = x
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