Matematika

Pertanyaan

9 √3 log2 + 3log5 - √3log4 + 9log64
lebih jelasnya 9 pangkat akar3 log 2 + 3log5 - akar3 log4 + 9log64

2 Jawaban


  • [tex]9 {}^{ \sqrt{3} } log2 + {}^{3} log5 - {}^{ \sqrt{3} } log4 + {}^{9} log64 \\ = 9 {}^{ {3}^{ \frac{1}{2} } } log2 + {}^{3} log5 - {}^{ {3}^{ \frac{1}{2} } } log4 + {}^{ {3}^{2} } log {8}^{2} \\ = \frac{9}{ \frac{1}{2} } {}^{3} log2 + {}^{3} log5 - \frac{1}{ \frac{1}{2} } {}^{3} log4 + \frac{2}{2} {}^{3} log8 \\ = 18 {}^{3} log2 + {}^{3} log5 - 2.2 {}^{3} log2 + 3 {}^{3} log2 \\ = 18 {}^{3} log2 + {}^{3} log5 - 4 {}^{3} log2 + 3 {}^{3} log2 \\ = (18 - 4 + 3) {}^{3} log( \frac{2 \times 5 \times 2}{2} ) \\ = 17 {}^{3} log10[/tex]
  • 9 pangkat 2[3log2 + 3log5 - akar3 log4 + 9log64]
    3 pangkat 2[3log2 + 3log5 - 3log16 + 3log8]
    3 pangkat [3log4 + 3log25 - 3log256 + 3log64]
    4 + 25 + 256 + 64
    = 349

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