Rekenen met log₁₀ (reeks 1)

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Bereken

1. \(\log \frac{1}{10^{5}}\)
2. \(\log \frac{1}{10^{4}}\)
3. \(\log 100000000\)
4. \(\log \frac{1}{10^{3}}\)
5. \(\log 10\)
6. \(\log 10000\)
7. \(\log \sqrt[12]{ 10^{11} }\)
8. \(\log \sqrt[11]{ \frac{1}{10^{9}} }\)
9. \(\log 1000000\)
10. \(\log \sqrt[4]{ \left(\frac{1}{10}\right)^{5} }\)
11. \(\log 0{,}1\)
12. \(\log 1000\)

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Bereken

Verbetersleutel

1. \(\log \frac{1}{10^{5}}= \log 10^{-5}=-5\)
2. \(\log \frac{1}{10^{4}}= \log 10^{-4}=-4\)
3. \(\log 100000000= \log 10^{8}=8\)
4. \(\log \frac{1}{10^{3}}= \log 10^{-3}=-3\)
5. \(\log 10= \log 10^{1}=1\)
6. \(\log 10000= \log 10^{4}=4\)
7. \(\log \sqrt[12]{ 10^{11} }=\log 10^{\frac{11}{12}}=\frac{11}{12}\)
8. \(\log \sqrt[11]{ \frac{1}{10^{9}} }=\log 10^{\frac{-9}{11}}=\frac{-9}{11}\)
9. \(\log 1000000= \log 10^{6}=6\)
10. \(\log \sqrt[4]{ \left(\frac{1}{10}\right)^{5} }=\log 10^{\frac{-5}{4}}=\frac{-5}{4}\)
11. \(\log 0{,}1= \log 10^{-1}=-1\)
12. \(\log 1000= \log 10^{3}=3\)