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Bereken

1. \(\log 10000\)
2. \(\log \frac{1}{10^{6}}\)
3. \(\log \frac{1}{10^{2}}\)
4. \(\log 1000\)
5. \(\log \sqrt[5]{ 10^{2} }\)
6. \(\log \sqrt[5]{ \frac{1}{10^{11}} }\)
7. \(\log \sqrt[11]{ 10^{10} }\)
8. \(\log \sqrt[3]{ 10^{5} }\)
9. \(\log \frac{1}{10^{4}}\)
10. \(\log 100\)
11. \(\log \frac{1}{10^{8}}\)
12. \(\log \frac{1}{10^{9}}\)

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Bereken

Verbetersleutel

1. \(\log 10000= \log 10^{4}=4\)
2. \(\log \frac{1}{10^{6}}= \log 10^{-6}=-6\)
3. \(\log \frac{1}{10^{2}}= \log 10^{-2}=-2\)
4. \(\log 1000= \log 10^{3}=3\)
5. \(\log \sqrt[5]{ 10^{2} }=\log 10^{\frac{2}{5}}=\frac{2}{5}\)
6. \(\log \sqrt[5]{ \frac{1}{10^{11}} }=\log 10^{\frac{-11}{5}}=\frac{-11}{5}\)
7. \(\log \sqrt[11]{ 10^{10} }=\log 10^{\frac{10}{11}}=\frac{10}{11}\)
8. \(\log \sqrt[3]{ 10^{5} }=\log 10^{\frac{5}{3}}=\frac{5}{3}\)
9. \(\log \frac{1}{10^{4}}= \log 10^{-4}=-4\)
10. \(\log 100= \log 10^{2}=2\)
11. \(\log \frac{1}{10^{8}}= \log 10^{-8}=-8\)
12. \(\log \frac{1}{10^{9}}= \log 10^{-9}=-9\)