Diberikan log 2= 0,3010 , log 3=0,4771, dan log 5= 0,6990 Hitunglah a) log 75/4 b) log √15
Matematika
Dewigitatrg
Pertanyaan
Diberikan log 2= 0,3010 , log 3=0,4771, dan log 5= 0,6990
Hitunglah
a) log 75/4
b) log √15
Hitunglah
a) log 75/4
b) log √15
1 Jawaban
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1. Jawaban Anonyme
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