Rekenen met log₁₀ (reeks 1)

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Bereken

1. \(\log 1000000000\)
2. \(\log 1\)
3. \(\log \frac{1}{10^{8}}\)
4. \(\log 100000\)
5. \(\log 10000000\)
6. \(\log \frac{1}{10^{6}}\)
7. \(\log \frac{1}{10^{5}}\)
8. \(\log \sqrt[5]{ 10^{6} }\)
9. \(\log 100\)
10. \(\log \frac{1}{10^{3}}\)
11. \(\log 100000000\)
12. \(\log \frac{1}{10^{4}}\)

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Bereken

Verbetersleutel

1. \(\log 1000000000= \log 10^{9}=9\)
2. \(\log 1= \log 10^{0}=0\)
3. \(\log \frac{1}{10^{8}}= \log 10^{-8}=-8\)
4. \(\log 100000= \log 10^{5}=5\)
5. \(\log 10000000= \log 10^{7}=7\)
6. \(\log \frac{1}{10^{6}}= \log 10^{-6}=-6\)
7. \(\log \frac{1}{10^{5}}= \log 10^{-5}=-5\)
8. \(\log \sqrt[5]{ 10^{6} }=\log 10^{\frac{6}{5}}=\frac{6}{5}\)
9. \(\log 100= \log 10^{2}=2\)
10. \(\log \frac{1}{10^{3}}= \log 10^{-3}=-3\)
11. \(\log 100000000= \log 10^{8}=8\)
12. \(\log \frac{1}{10^{4}}= \log 10^{-4}=-4\)