Rekenen met log₁₀ (reeks 1)

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Bereken

1. \(\log \sqrt{ \frac{1}{10^{3}} } \)
2. \(\log 0{,}01\)
3. \(\log \sqrt[7]{ \frac{1}{10^{11}} }\)
4. \(\log \frac{1}{10^{2}}\)
5. \(\log \frac{1}{10^{1}}\)
6. \(\log \frac{1}{10^{4}}\)
7. \(\log 1000000\)
8. \(\log \sqrt[10]{ \frac{1}{10^{1}} }\)
9. \(\log \sqrt[7]{ \frac{1}{10^{10}} }\)
10. \(\log \sqrt[7]{ 10^{3} }\)
11. \(\log \frac{1}{10^{6}}\)
12. \(\log \frac{1}{10^{7}}\)

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Bereken

Verbetersleutel

1. \(\log \sqrt{ \frac{1}{10^{3}} } =\log 10^{\frac{-3}{2}}=\frac{-3}{2}\)
2. \(\log 0{,}01= \log 10^{-2}=-2\)
3. \(\log \sqrt[7]{ \frac{1}{10^{11}} }=\log 10^{\frac{-11}{7}}=\frac{-11}{7}\)
4. \(\log \frac{1}{10^{2}}=\log 10^{\frac{-2}{1}}=\frac{-2}{1}\)
5. \(\log \frac{1}{10^{1}}= \log 10^{-1}=-1\)
6. \(\log \frac{1}{10^{4}}= \log 10^{-4}=-4\)
7. \(\log 1000000= \log 10^{6}=6\)
8. \(\log \sqrt[10]{ \frac{1}{10^{1}} }=\log 10^{\frac{-1}{10}}=\frac{-1}{10}\)
9. \(\log \sqrt[7]{ \frac{1}{10^{10}} }=\log 10^{\frac{-10}{7}}=\frac{-10}{7}\)
10. \(\log \sqrt[7]{ 10^{3} }=\log 10^{\frac{3}{7}}=\frac{3}{7}\)
11. \(\log \frac{1}{10^{6}}= \log 10^{-6}=-6\)
12. \(\log \frac{1}{10^{7}}= \log 10^{-7}=-7\)