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Bereken

1. \(\log 10^{6}\)
2. \(\log 0{,}001\)
3. \(\log \left(\frac{1}{10}\right)^{6}\)
4. \(\log 0{,}01\)
5. \(\log \sqrt[12]{ 10^{11} }\)
6. \(\log 10000000\)
7. \(\log \frac{1}{10^{8}}\)
8. \(\log \sqrt[5]{ 10^{11} }\)
9. \(\log \frac{1}{10^{7}}\)
10. \(\log \frac{1}{10^{1}}\)
11. \(\log \sqrt[4]{ \frac{1}{10^{5}} }\)
12. \(\log 10000\)

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Bereken

Verbetersleutel

1. \(\log 10^{6}=\log 10^{\frac{6}{1}}=\frac{6}{1}\)
2. \(\log 0{,}001= \log 10^{-3}=-3\)
3. \(\log \left(\frac{1}{10}\right)^{6}=\log 10^{\frac{-6}{1}}=\frac{-6}{1}\)
4. \(\log 0{,}01= \log 10^{-2}=-2\)
5. \(\log \sqrt[12]{ 10^{11} }=\log 10^{\frac{11}{12}}=\frac{11}{12}\)
6. \(\log 10000000= \log 10^{7}=7\)
7. \(\log \frac{1}{10^{8}}= \log 10^{-8}=-8\)
8. \(\log \sqrt[5]{ 10^{11} }=\log 10^{\frac{11}{5}}=\frac{11}{5}\)
9. \(\log \frac{1}{10^{7}}= \log 10^{-7}=-7\)
10. \(\log \frac{1}{10^{1}}= \log 10^{-1}=-1\)
11. \(\log \sqrt[4]{ \frac{1}{10^{5}} }=\log 10^{\frac{-5}{4}}=\frac{-5}{4}\)
12. \(\log 10000= \log 10^{4}=4\)