Rekenen met log₁₀ (reeks 1)

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Bereken

1. \(\log \frac{1}{10^{6}}\)
2. \(\log 0,001\)
3. \(\log 0,01\)
4. \(\log \frac{1}{10^{9}}\)
5. \(\log \frac{1}{10^{8}}\)
6. \(\log \sqrt[5]{ \left(\frac{1}{10}\right)^{2} }\)
7. \(\log 1000\)
8. \(\log \frac{1}{10^{5}}\)
9. \(\log 100000000\)
10. \(\log 100000\)
11. \(\log \frac{1}{10^{1}}\)
12. \(\log \frac{1}{10^{2}}\)

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Bereken

Verbetersleutel

1. \(\log \frac{1}{10^{6}}= \log 10^{-6}=-6\)
2. \(\log 0,001= \log 10^{-3}=-3\)
3. \(\log 0,01= \log 10^{-2}=-2\)
4. \(\log \frac{1}{10^{9}}= \log 10^{-9}=-9\)
5. \(\log \frac{1}{10^{8}}= \log 10^{-8}=-8\)
6. \(\log \sqrt[5]{ \left(\frac{1}{10}\right)^{2} }=\log 10^{\frac{-2}{5}}=\frac{-2}{5}\)
7. \(\log 1000= \log 10^{3}=3\)
8. \(\log \frac{1}{10^{5}}= \log 10^{-5}=-5\)
9. \(\log 100000000= \log 10^{8}=8\)
10. \(\log 100000= \log 10^{5}=5\)
11. \(\log \frac{1}{10^{1}}= \log 10^{-1}=-1\)
12. \(\log \frac{1}{10^{2}}=\log 10^{\frac{-2}{1}}=\frac{-2}{1}\)