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Bereken

1. \(\log 100000\)
2. \(\log \sqrt[7]{ 10^{11} }\)
3. \(\log \frac{1}{10^{8}}\)
4. \(\log 10000\)
5. \(\log \frac{1}{10^{5}}\)
6. \(\log \sqrt[10]{ \left(\frac{1}{10}\right)^{7} }\)
7. \(\log 0{,}1\)
8. \(\log \sqrt{ 10 } \)
9. \(\log \frac{1}{10^{7}}\)
10. \(\log \frac{1}{10^{9}}\)
11. \(\log \sqrt[3]{ \frac{1}{10^{2}} }\)
12. \(\log \frac{1}{10^{3}}\)

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Bereken

Verbetersleutel

1. \(\log 100000= \log 10^{5}=5\)
2. \(\log \sqrt[7]{ 10^{11} }=\log 10^{\frac{11}{7}}=\frac{11}{7}\)
3. \(\log \frac{1}{10^{8}}= \log 10^{-8}=-8\)
4. \(\log 10000= \log 10^{4}=4\)
5. \(\log \frac{1}{10^{5}}= \log 10^{-5}=-5\)
6. \(\log \sqrt[10]{ \left(\frac{1}{10}\right)^{7} }=\log 10^{\frac{-7}{10}}=\frac{-7}{10}\)
7. \(\log 0{,}1= \log 10^{-1}=-1\)
8. \(\log \sqrt{ 10 } =\log 10^{\frac{1}{2}}=\frac{1}{2}\)
9. \(\log \frac{1}{10^{7}}= \log 10^{-7}=-7\)
10. \(\log \frac{1}{10^{9}}= \log 10^{-9}=-9\)
11. \(\log \sqrt[3]{ \frac{1}{10^{2}} }=\log 10^{\frac{-2}{3}}=\frac{-2}{3}\)
12. \(\log \frac{1}{10^{3}}= \log 10^{-3}=-3\)