Matematika

Pertanyaan

(3/3^×-1)^2=3akar1/9. nilai 8^×?

2 Jawaban

  • [tex] (\frac{3}{3 ^{x-1} } ) ^{2} = \frac{3 \sqrt{1} }{9} [/tex]
    <=>[[tex][tex] \frac{9}{3 ^({2x-2} )} = \frac{3}{9} [/tex]
    kali silang maka diperoleh
    <=>81 = [tex] 3^{2x-2} . 3 ^{ \frac{1}{2} } [/tex]
    <=> [tex]3^{4} [/tex] = [tex]3^{ ^{ \frac{1}{2}(2x-2) }[/tex]
    <=> x - 1 = 4
    <=> x = 4+1
               = 5
    Nilai [tex]8^{x} [/tex] = [tex]8^{5} [/tex] = 32.768
  • 3^(1 - (x - 1)) = 3^(1 - 1)
    3^(2 - x) = 3^0
    2 - x = 0
    x = 2

    8^x = 8^2
    = 64

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