Rekenen met log₁₀ (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

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