Matematika

Pertanyaan

2log125.3log9.5log8=....

2 Jawaban

  • jawab

    = ²log 5³. ³log 3². ⁵log 2³
    = 3. ²log 5. 2.³log 3. 3.⁵log 2
    = (3)(2)(3).  ²log 5. ⁵log 2
    = 18 . ²log 2
    = 18

  • [tex] {}^{2} log(125) \times {}^{3} log(9) \times {}^{5} log(8) \\ = {}^{2} log(125). {}^{3} log_{}(3 {}^{2} ) . {}^{5} log(8) \\ = {}^{2} log(125) \times 2. {}^{5} log(8) \\ = 2. {}^{2} log(125) \times {}^{5} log(8) \\ = 2. {}^{2} log(5 {}^{3} ) \times {}^{5} log(2 {}^{3} ) \\ = 2 \times 3. {}^{2} log(5) \times 3. {}^{5} log(2) \\ = 2 \times 3 \times 1 \times 3 \\ = 18[/tex]

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