Rekenen met log₁₀ (reeks 1)

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Bereken

1. \(\log 0{,}001\)
2. \(\log 10\)
3. \(\log \frac{1}{10^{4}}\)
4. \(\log 10000000\)
5. \(\log 0{,}1\)
6. \(\log \sqrt[6]{ 10^{5} }\)
7. \(\log \sqrt[7]{ 10^{12} }\)
8. \(\log 1\)
9. \(\log \sqrt{ 10^{3} } \)
10. \(\log \frac{1}{10^{8}}\)
11. \(\log 1000\)
12. \(\log 100000\)

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Bereken

Verbetersleutel

1. \(\log 0{,}001= \log 10^{-3}=-3\)
2. \(\log 10= \log 10^{1}=1\)
3. \(\log \frac{1}{10^{4}}= \log 10^{-4}=-4\)
4. \(\log 10000000= \log 10^{7}=7\)
5. \(\log 0{,}1= \log 10^{-1}=-1\)
6. \(\log \sqrt[6]{ 10^{5} }=\log 10^{\frac{5}{6}}=\frac{5}{6}\)
7. \(\log \sqrt[7]{ 10^{12} }=\log 10^{\frac{12}{7}}=\frac{12}{7}\)
8. \(\log 1= \log 10^{0}=0\)
9. \(\log \sqrt{ 10^{3} } =\log 10^{\frac{3}{2}}=\frac{3}{2}\)
10. \(\log \frac{1}{10^{8}}= \log 10^{-8}=-8\)
11. \(\log 1000= \log 10^{3}=3\)
12. \(\log 100000= \log 10^{5}=5\)