Matematika

Pertanyaan

a. 16 pangkat x sama dengan 1/2
cari x nya,

b. log 27 + log 14- log 9 - log 7 - log 6

c. 2 . pangkat 3 log 2 + 3 . pangkat 3 log 3 - pangkat 3 log 36

d. pangkat 2 log 25 . pangkat 3 log 8 . pangkat 5 log 9

2 Jawaban

  • a. [tex]16^{x}[/tex] = [tex]\frac{1}{2}[/tex]
    [tex]16^{x}[/tex] = [tex]16^{-\frac{1}{4}}[/tex]
    x = - [tex]\frac{1}{4}[/tex]

    b. log 27 + log 14 - log 9 - log 7 - log 6 = log [tex]\frac{27 x 14}{9 x 7 x 6}[/tex] = log 1 = 0

    c. 2 x 3log2 + 3 x 3log3 - 3log36 = 3log[tex]2^{2}[/tex] + 3 - 3log36 = 3 + 3log[tex]\frac{2^{2}}{36}[/tex] = 3 + 3log[tex]\frac{4}{36}[/tex] = 3 + 3log[tex]\frac{1}{9}[/tex] = 3 + 3log[tex]3^{-2}[/tex] = 3 + (-2 x 3log3) = 3 + (-2) = 1

    d. 2log25 x 3log8 x 5log9 = 2log25 x 5log9 x 3log8 = 2log[tex]5^{2}[/tex] x 5log[tex]3^{2}[/tex] x 3log[tex]2^{3}[/tex] = 2 x 2log5 x 2 x 5log3 x 3 x 3log 2 = 12 x 2log5 x 5log3 x 3log2 = 12 x 2log2 = 12 x 1 = 12
  • ........................

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