Penyelesain dari log 150 akar 3

Dik :
log 3 = 0,477
log 5 = 0,698


Dit :
log 150√3

Penyelesaian :
Ingat bahwa
alog a = 1
alog a^b = b
alog b = 1/ blog a
alog b + alog c = alog (b · c)
alog b - alog c = alog (b / c)

= log 10 · 15 · √3
= log 10 + log 15 + log √3
= 1 + log 3 · 5 + log √3
= 1 + log 5 + log 3 + log √3
= 1 + log 5 + log 3√3
= 1 + 0,698 + log 3^3/2
= 1,698 + 3/2 · log 3
= 1,698 + 3/2 · 0,477
= 2,4135


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Referensi Logaritma : 
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Kelas 10 Matematika Bab 1 - Pangkat Akar dan Logaritma
Kata kunci : sifat logaritma
Kode soal : 10.2.1

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