Matematika

Pertanyaan

1.)5log250-5log6+5log12-5log20 =?
2.) 2. 3log4- 1/2 .3log25+3log10-3log32 =?
3.) 2/3. 2log8- 3/2 2log16 + 1/2 2log5 =?

2 Jawaban

  • 1.)5log250-5log6+5log12-5log20 =?
    JAWAB
    5log250 - 5log6 + 5log12 - 5log20
    = 5log250 - 5log20 + 5log12 - 5log6
    = 5log(250/20) + 5log(12/6)
    = 5log(12,5) + 5log2
    = 5log (12,5×2)
    = 5log25
    = 2

    2.) 2. 3log4- 1/2 .3log25+3log10-3log32 =?
    JAWAB
    2. 3log4 - 1/2 .3log25 + 3log10 - 3log32
    = 3log4² - 3log√25 + 3log10 - 3log32
    = 3log16 - 3log5 + 3log10 - 3log32
    = 3log16 - 3log32 + 3log10 - 3log5
    = 3log(16/32) + 3log(10/5)
    = 3log0,5 + 3log2
    = 3log(0,5×2)
    = 3log1
    = 0

    3.) 2/3. 2log8- 3/2 2log16 + 1/2 2log5 =?
    JAWAB
    2/3.2log8- 3/2 2log16 + 1/2 2log5
    = 2log8^⅔ - 2log16^3/2 + 2log5^½
    = 2log2² - 2log4³ + 2log√5
    = 2 - 6 + 2log√5
    = 2log√5 - 4

    NB: No 3 angkanya gak bagus. :)
  • 1. 5log(250:6×12:20)=5 log 25=5
    2 .3log4^2- 3log25^1/2+3log10-3log32=3log16-3log5+3log10-3log2=
        =3log(16:5
    ×10:2)=3log16
    3. 2log8^2/3-2log16^3/2+2log5^1/2= 2log∛8² - 2log√16³ +2log5^1/2=
         1/2 × 2log4-2log64+2log5=1/2×2-6+2log5=-6+2log5
     susah juga nyarinya....:) jawaban terbaik yach.....^_^

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