Diketahui log3=0,4771 dan log6=0,7782 berapakah nilai dari log 8
Matematika
lyana2613
Pertanyaan
Diketahui log3=0,4771 dan log6=0,7782 berapakah nilai dari log 8
1 Jawaban
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1. Jawaban ahreumlim
log3 = 0,4771
log6 = 0,7782
============================
log6 = log(2 . 3)
= log2 + log3
0,7782 = log2 + 0,4771
log2 = 0,7782 - 0,4771
log2 = 0,3011
==============================
log8 = log(24/3)
= log24 - log3
= log(6 . 4) - log3
= log6 + 2.log2 - log3
= 0,7782 + 2(0,3011) - 0,4771
= 0,9033