Rekenen met log₁₀ (reeks 1)

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Bereken

1. \(\log \frac{1}{10^{2}}\)
2. \(\log 0,001\)
3. \(\log \sqrt[3]{ \frac{1}{10^{4}} }\)
4. \(\log \frac{1}{10^{6}}\)
5. \(\log \sqrt[6]{ 10^{5} }\)
6. \(\log \frac{1}{10^{5}}\)
7. \(\log 1000\)
8. \(\log \frac{1}{10^{4}}\)
9. \(\log \sqrt[4]{ 10 }\)
10. \(\log 10\)
11. \(\log 10000000\)
12. \(\log \sqrt[9]{ \left(\frac{1}{10}\right) }\)

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Bereken

Verbetersleutel

1. \(\log \frac{1}{10^{2}}= \log 10^{-2}=-2\)
2. \(\log 0,001= \log 10^{-3}=-3\)
3. \(\log \sqrt[3]{ \frac{1}{10^{4}} }=\log 10^{\frac{-4}{3}}=\frac{-4}{3}\)
4. \(\log \frac{1}{10^{6}}= \log 10^{-6}=-6\)
5. \(\log \sqrt[6]{ 10^{5} }=\log 10^{\frac{5}{6}}=\frac{5}{6}\)
6. \(\log \frac{1}{10^{5}}= \log 10^{-5}=-5\)
7. \(\log 1000= \log 10^{3}=3\)
8. \(\log \frac{1}{10^{4}}= \log 10^{-4}=-4\)
9. \(\log \sqrt[4]{ 10 }=\log 10^{\frac{1}{4}}=\frac{1}{4}\)
10. \(\log 10= \log 10^{1}=1\)
11. \(\log 10000000= \log 10^{7}=7\)
12. \(\log \sqrt[9]{ \left(\frac{1}{10}\right) }=\log 10^{\frac{-1}{9}}=\frac{-1}{9}\)