Rekenen met log₁₀ (reeks 1)

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Bereken

1. \(\log \frac{1}{10^{4}}\)
2. \(\log 0,1\)
3. \(\log \sqrt[3]{ \left(\frac{1}{10}\right)^{11} }\)
4. \(\log \sqrt[7]{ 10^{3} }\)
5. \(\log \sqrt[3]{ 10 }\)
6. \(\log \frac{1}{10^{5}}\)
7. \(\log \frac{1}{10^{6}}\)
8. \(\log 0,001\)
9. \(\log \sqrt[7]{ \left(\frac{1}{10}\right)^{3} }\)
10. \(\log \frac{1}{10^{2}}\)
11. \(\log 1000\)
12. \(\log 10000\)

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Bereken

Verbetersleutel

1. \(\log \frac{1}{10^{4}}=\log 10^{\frac{-4}{1}}=\frac{-4}{1}\)
2. \(\log 0,1= \log 10^{-1}=-1\)
3. \(\log \sqrt[3]{ \left(\frac{1}{10}\right)^{11} }=\log 10^{\frac{-11}{3}}=\frac{-11}{3}\)
4. \(\log \sqrt[7]{ 10^{3} }=\log 10^{\frac{3}{7}}=\frac{3}{7}\)
5. \(\log \sqrt[3]{ 10 }=\log 10^{\frac{1}{3}}=\frac{1}{3}\)
6. \(\log \frac{1}{10^{5}}= \log 10^{-5}=-5\)
7. \(\log \frac{1}{10^{6}}= \log 10^{-6}=-6\)
8. \(\log 0,001= \log 10^{-3}=-3\)
9. \(\log \sqrt[7]{ \left(\frac{1}{10}\right)^{3} }=\log 10^{\frac{-3}{7}}=\frac{-3}{7}\)
10. \(\log \frac{1}{10^{2}}= \log 10^{-2}=-2\)
11. \(\log 1000= \log 10^{3}=3\)
12. \(\log 10000= \log 10^{4}=4\)