Rekenen met log₁₀ (reeks 1)

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Bereken

1. \(\log \frac{1}{10^{5}}\)
2. \(\log \frac{1}{10^{4}}\)
3. \(\log 100\)
4. \(\log 1\)
5. \(\log 1000\)
6. \(\log \frac{1}{10^{7}}\)
7. \(\log \sqrt[3]{ \frac{1}{10^{10}} }\)
8. \(\log 100000000\)
9. \(\log \frac{1}{10^{2}}\)
10. \(\log \sqrt[6]{ 10^{5} }\)
11. \(\log 0,001\)
12. \(\log \sqrt[11]{ \frac{1}{10^{6}} }\)

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Bereken

Verbetersleutel

1. \(\log \frac{1}{10^{5}}= \log 10^{-5}=-5\)
2. \(\log \frac{1}{10^{4}}= \log 10^{-4}=-4\)
3. \(\log 100= \log 10^{2}=2\)
4. \(\log 1= \log 10^{0}=0\)
5. \(\log 1000= \log 10^{3}=3\)
6. \(\log \frac{1}{10^{7}}= \log 10^{-7}=-7\)
7. \(\log \sqrt[3]{ \frac{1}{10^{10}} }=\log 10^{\frac{-10}{3}}=\frac{-10}{3}\)
8. \(\log 100000000= \log 10^{8}=8\)
9. \(\log \frac{1}{10^{2}}= \log 10^{-2}=-2\)
10. \(\log \sqrt[6]{ 10^{5} }=\log 10^{\frac{5}{6}}=\frac{5}{6}\)
11. \(\log 0,001= \log 10^{-3}=-3\)
12. \(\log \sqrt[11]{ \frac{1}{10^{6}} }=\log 10^{\frac{-6}{11}}=\frac{-6}{11}\)