Rekenen met log₁₀ (reeks 1)

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Bereken

1. \(\log \sqrt[8]{ \frac{1}{10^{1}} }\)
2. \(\log \frac{1}{10^{9}}\)
3. \(\log \sqrt{ 10 } \)
4. \(\log 1000\)
5. \(\log \frac{1}{10^{2}}\)
6. \(\log 10\)
7. \(\log 0{,}1\)
8. \(\log 1000000\)
9. \(\log 1000000000\)
10. \(\log 100000000\)
11. \(\log 100000\)
12. \(\log \sqrt[11]{ 10 }\)

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Bereken

Verbetersleutel

1. \(\log \sqrt[8]{ \frac{1}{10^{1}} }=\log 10^{\frac{-1}{8}}=\frac{-1}{8}\)
2. \(\log \frac{1}{10^{9}}= \log 10^{-9}=-9\)
3. \(\log \sqrt{ 10 } =\log 10^{\frac{1}{2}}=\frac{1}{2}\)
4. \(\log 1000= \log 10^{3}=3\)
5. \(\log \frac{1}{10^{2}}= \log 10^{-2}=-2\)
6. \(\log 10= \log 10^{1}=1\)
7. \(\log 0{,}1= \log 10^{-1}=-1\)
8. \(\log 1000000= \log 10^{6}=6\)
9. \(\log 1000000000= \log 10^{9}=9\)
10. \(\log 100000000= \log 10^{8}=8\)
11. \(\log 100000= \log 10^{5}=5\)
12. \(\log \sqrt[11]{ 10 }=\log 10^{\frac{1}{11}}=\frac{1}{11}\)