Matematika

Pertanyaan

Diberikan log 2= 0,3010 , log 3=0,4771, dan log 5= 0,6990
Hitunglah
a) log 75/4
b) log √15

1 Jawaban

  • jawab

    log 75/4 = log 75 - log 4
    = log 5². 3 - log 2²
    = 2 (log 5) + (log 3)  - 2 (log 2)
    = 2(0,699) + (0,4771) - 2(0,301)
    = 1,2731

    log √15 = log 15^(1/2)
    = 1/2 (log 15)
    = 1/2 (log 3 + log 5)
    = 1/2 (0,4771 + 0,699)
    = 0,58805

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