Jika log 0,67=0,582\log\ 0,67=0,582log 0,67=0,582 maka nilai dari log 670\log\ 670log 670 adalah ....
3,582
0,582
2,518
2,582
Diketahui:
log 0,67=0,582\log\ 0,67=0,582log 0,67=0,582
Ditanya:
log 670=?\log\ 670=?log 670=?
Jawab:
⇔log 0,67=0,582\Leftrightarrow\log\ 0,67=0,582⇔log 0,67=0,582
⇔log 670=log(0,67×1000)\Leftrightarrow\log\ 670=\log\left(0,67\times1000\right)⇔log 670=log(0,67×1000)
Gunakan sifat logaritma loga×b=loga+logb\log a\times b=\log a+\log bloga×b=loga+logb
⇔ log 670=log 0,67 +log1000\Leftrightarrow\ \log\ 670=\log\ 0,67\ +\log1000⇔ log 670=log 0,67 +log1000
⇔ log 670=log 0,67 +log103\Leftrightarrow\ \log\ 670=\log\ 0,67\ +\log10^3⇔ log 670=log 0,67 +log103
⇔ log 670=0,582 +3=3,582\Leftrightarrow\ \log\ 670=0,582\ +3=3,582⇔ log 670=0,582 +3=3,582
Jadi, log 670=3,582\log\ 670=3,582log 670=3,582