Rekenen met log₁₀ (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

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