Rekenen met log₁₀ (reeks 1)

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Bereken

1. \(\log \frac{1}{10^{1}}\)
2. \(\log 100000\)
3. \(\log \sqrt{ \left(\frac{1}{10}\right)^{11} } \)
4. \(\log \sqrt[4]{ \left(\frac{1}{10}\right)^{9} }\)
5. \(\log 1000\)
6. \(\log \frac{1}{10^{6}}\)
7. \(\log \frac{1}{10^{5}}\)
8. \(\log 1000000\)
9. \(\log 1000000000\)
10. \(\log 0{,}001\)
11. \(\log 10000\)
12. \(\log 1\)

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Bereken

Verbetersleutel

1. \(\log \frac{1}{10^{1}}= \log 10^{-1}=-1\)
2. \(\log 100000= \log 10^{5}=5\)
3. \(\log \sqrt{ \left(\frac{1}{10}\right)^{11} } =\log 10^{\frac{-11}{2}}=\frac{-11}{2}\)
4. \(\log \sqrt[4]{ \left(\frac{1}{10}\right)^{9} }=\log 10^{\frac{-9}{4}}=\frac{-9}{4}\)
5. \(\log 1000= \log 10^{3}=3\)
6. \(\log \frac{1}{10^{6}}= \log 10^{-6}=-6\)
7. \(\log \frac{1}{10^{5}}= \log 10^{-5}=-5\)
8. \(\log 1000000= \log 10^{6}=6\)
9. \(\log 1000000000= \log 10^{9}=9\)
10. \(\log 0{,}001= \log 10^{-3}=-3\)
11. \(\log 10000= \log 10^{4}=4\)
12. \(\log 1= \log 10^{0}=0\)