Matematika

Pertanyaan

10log125 + 10log6 + 10log2- 10log3 -10log5

2 Jawaban

  • 10log 125 + 10log 6 + 10log 2 - 10log 3 - 10log 5
    =10log 125 + 10log 6 + 10log 2 - (10log 3 +10log 5)
    = 10log ([tex] \frac{125*6*2}{3*5} [/tex])
    = 10log [tex] \frac{1500}{15} [/tex]
    = 10log 100
    = 2
  • ==Jawaban==

    Harap diingat !
    ᵃlogb + ᵃlogc = ᵃlog(b.c)
    ᵃlogb - ᵃlogc = ᵃlog(b/c)
    ᵃlogbⁿ = n.ᵃlogb
    ᵃloga = 1

    Jadi,,
    ¹⁰log125 + ¹⁰log6 + ¹⁰log2 - ¹⁰log3 - ¹⁰log5
    ¹⁰log(125.6) + ¹⁰log2 - ¹⁰log3 - ¹⁰log5
    = ¹⁰log750 + ¹⁰log2 - ¹⁰log3 - ¹⁰log5
    = ¹⁰log(750.2) - ¹⁰log3 - ¹⁰log5
    = ¹⁰log1500 - ¹⁰log3 - ¹⁰log5
    = ¹⁰log(1500/3) - ¹⁰log5
    = ¹⁰log500 - ¹⁰log5
    = ¹⁰log(500/5)
    = ¹⁰log100
    = ¹⁰log10²
    = 2.¹⁰log10
    = 2.1
    = 2

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