Rekenen met log₁₀ (reeks 1)

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Bereken

1. \(\log 100000\)
2. \(\log \sqrt[3]{ 10 }\)
3. \(\log \sqrt{ 10^{5} } \)
4. \(\log 1000000000\)
5. \(\log \sqrt[3]{ \frac{1}{10^{4}} }\)
6. \(\log 10000000\)
7. \(\log \frac{1}{10^{8}}\)
8. \(\log 100000000\)
9. \(\log \frac{1}{10^{6}}\)
10. \(\log 100\)
11. \(\log \sqrt[10]{ \left(\frac{1}{10}\right) }\)
12. \(\log 10000\)

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Bereken

Verbetersleutel

1. \(\log 100000= \log 10^{5}=5\)
2. \(\log \sqrt[3]{ 10 }=\log 10^{\frac{1}{3}}=\frac{1}{3}\)
3. \(\log \sqrt{ 10^{5} } =\log 10^{\frac{5}{2}}=\frac{5}{2}\)
4. \(\log 1000000000= \log 10^{9}=9\)
5. \(\log \sqrt[3]{ \frac{1}{10^{4}} }=\log 10^{\frac{-4}{3}}=\frac{-4}{3}\)
6. \(\log 10000000= \log 10^{7}=7\)
7. \(\log \frac{1}{10^{8}}= \log 10^{-8}=-8\)
8. \(\log 100000000= \log 10^{8}=8\)
9. \(\log \frac{1}{10^{6}}= \log 10^{-6}=-6\)
10. \(\log 100= \log 10^{2}=2\)
11. \(\log \sqrt[10]{ \left(\frac{1}{10}\right) }=\log 10^{\frac{-1}{10}}=\frac{-1}{10}\)
12. \(\log 10000= \log 10^{4}=4\)