Matematika

Pertanyaan

Jika (1/32)^3-5x = 2 x 2^2 x 2^3 x ... x 2^20 maka nilai x =

1 Jawaban

  • [tex]
    \left(\frac{1}{32}\right)^{3-5x}=2\cdot2^2\cdot2^3\cdot2^4\ldots\cdot2^20\\
    \Leftrightarrow \left(2^{-5}\right)^{3-5x}=2^{1+2+3+\ldots+20}\\
    \Leftrightarrow 2^{25x-15}=2^{\frac{20}{2}(1+20)}\\
    \Rightarrow 25x-15=10\cdot21\\
    \Leftrightarrow 25x=210+15\\
    \Leftrightarrow x=9
    [/tex]

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