Rekenen met log₁₀ (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

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