Matematika

Pertanyaan

Hitunglah!
1. 2log(16.8)
2. 2log(4.64:16)
3. 4log (256:16)
4. 3log(81.27.3)

1 Jawaban

  • 1. ²log(16.8)
    = ²log16 + ²log8
    = ²log2⁴ + ²log2³
    = 4.²log2 + 3.²log2
    = 4 + 3
    = 7

    2. ²log(4.64:16)
    = ²log4 + ²log64 - ²log16
    = ²log2² + ²log2pangkat6 - ²log2⁴
    = 2.²log2 + 6.²log2 - 4.²log2
    = 2 + 6 - 4
    = 4

    3. ⁴log(256:16)
    = ⁴log256 - ⁴log16
    = ⁴log4⁴ - ⁴log4²
    = 4.⁴log4 - 2.⁴log4
    = 4 - 2
    = 2

    4. ³log(81.27.3)
    = ³log81 + ³log27 + ³log3
    = ³log3⁴ + ³log3³ + ³log3¹
    = 4.³log3 + 3.³log3 + 1.³log3
    = 4 + 3 + 1
    = 8

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