Rekenen met log₁₀ (reeks 1)

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Bereken

1. \(\log \frac{1}{10^{5}}\)
2. \(\log 100\)
3. \(\log 0{,}001\)
4. \(\log \frac{1}{10^{9}}\)
5. \(\log \frac{1}{10^{2}}\)
6. \(\log \sqrt[5]{ 10^{12} }\)
7. \(\log \frac{1}{10^{7}}\)
8. \(\log 1\)
9. \(\log \sqrt[9]{ 10 }\)
10. \(\log 1000000\)
11. \(\log 1000\)
12. \(\log \sqrt[11]{ \frac{1}{10^{9}} }\)

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Bereken

Verbetersleutel

1. \(\log \frac{1}{10^{5}}= \log 10^{-5}=-5\)
2. \(\log 100= \log 10^{2}=2\)
3. \(\log 0{,}001= \log 10^{-3}=-3\)
4. \(\log \frac{1}{10^{9}}= \log 10^{-9}=-9\)
5. \(\log \frac{1}{10^{2}}= \log 10^{-2}=-2\)
6. \(\log \sqrt[5]{ 10^{12} }=\log 10^{\frac{12}{5}}=\frac{12}{5}\)
7. \(\log \frac{1}{10^{7}}= \log 10^{-7}=-7\)
8. \(\log 1= \log 10^{0}=0\)
9. \(\log \sqrt[9]{ 10 }=\log 10^{\frac{1}{9}}=\frac{1}{9}\)
10. \(\log 1000000= \log 10^{6}=6\)
11. \(\log 1000= \log 10^{3}=3\)
12. \(\log \sqrt[11]{ \frac{1}{10^{9}} }=\log 10^{\frac{-9}{11}}=\frac{-9}{11}\)