Rekenen met log₁₀ (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

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