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Summer Clouds moderators

15/11/2017 at 08:32
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3
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For what value of x does \(2^{18}=4^x\).




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  • ...
    Bảo Bình 15/11/2017 at 12:09

    We have:\(2^{18}=4^x\Leftrightarrow2^{18}-4^x=0\Leftrightarrow\left(2^2\right)^9-4^x=0\Leftrightarrow4^9-4^x=0\)

    \(\Leftrightarrow4^z\left(4^{9-x}-1\right)=0\).Because 4x>0 so 49-x=1\(\Rightarrow9-x=0\Rightarrow x=9\)

  • ...
    Nguyễn Hưng Phát 16/11/2017 at 12:56

    We have:218=4x⇔218−4x=0⇔(22)9−4x=0⇔49−4x=0⇔4x(49−x−1)=0.Because 4x>0 so 49-x=1⇒9−x=0⇒x=9

  • ...
    Phan Thanh Tinh Coordinator 15/11/2017 at 11:33

    \(2^{18}=\left(2^2\right)^9=4^9\). So, x = 9


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