Rekenen met log₁₀ (reeks 1)

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Bereken

1. \(\log \sqrt{ 10 } \)
2. \(\log 0{,}01\)
3. \(\log \frac{1}{10^{6}}\)
4. \(\log 10000\)
5. \(\log \frac{1}{10^{4}}\)
6. \(\log \frac{1}{10^{7}}\)
7. \(\log 100000\)
8. \(\log \sqrt{ 10^{3} } \)
9. \(\log \frac{1}{10^{8}}\)
10. \(\log 0{,}1\)
11. \(\log 10000000\)
12. \(\log \sqrt[3]{ \frac{1}{10^{10}} }\)

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Bereken

Verbetersleutel

1. \(\log \sqrt{ 10 } =\log 10^{\frac{1}{2}}=\frac{1}{2}\)
2. \(\log 0{,}01= \log 10^{-2}=-2\)
3. \(\log \frac{1}{10^{6}}= \log 10^{-6}=-6\)
4. \(\log 10000= \log 10^{4}=4\)
5. \(\log \frac{1}{10^{4}}= \log 10^{-4}=-4\)
6. \(\log \frac{1}{10^{7}}= \log 10^{-7}=-7\)
7. \(\log 100000= \log 10^{5}=5\)
8. \(\log \sqrt{ 10^{3} } =\log 10^{\frac{3}{2}}=\frac{3}{2}\)
9. \(\log \frac{1}{10^{8}}= \log 10^{-8}=-8\)
10. \(\log 0{,}1= \log 10^{-1}=-1\)
11. \(\log 10000000= \log 10^{7}=7\)
12. \(\log \sqrt[3]{ \frac{1}{10^{10}} }=\log 10^{\frac{-10}{3}}=\frac{-10}{3}\)