Rekenen met log₁₀ (reeks 1)

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Bereken

1. \(\log \sqrt[5]{ \left(\frac{1}{10}\right)^{6} }\)
2. \(\log 1000000\)
3. \(\log \sqrt[7]{ \frac{1}{10^{11}} }\)
4. \(\log 0{,}1\)
5. \(\log \frac{1}{10^{5}}\)
6. \(\log 100\)
7. \(\log 1\)
8. \(\log 10\)
9. \(\log \frac{1}{10^{6}}\)
10. \(\log \sqrt[11]{ \left(\frac{1}{10}\right) }\)
11. \(\log \frac{1}{10^{7}}\)
12. \(\log \sqrt[4]{ 10^{5} }\)

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Bereken

Verbetersleutel

1. \(\log \sqrt[5]{ \left(\frac{1}{10}\right)^{6} }=\log 10^{\frac{-6}{5}}=\frac{-6}{5}\)
2. \(\log 1000000= \log 10^{6}=6\)
3. \(\log \sqrt[7]{ \frac{1}{10^{11}} }=\log 10^{\frac{-11}{7}}=\frac{-11}{7}\)
4. \(\log 0{,}1= \log 10^{-1}=-1\)
5. \(\log \frac{1}{10^{5}}= \log 10^{-5}=-5\)
6. \(\log 100= \log 10^{2}=2\)
7. \(\log 1= \log 10^{0}=0\)
8. \(\log 10= \log 10^{1}=1\)
9. \(\log \frac{1}{10^{6}}= \log 10^{-6}=-6\)
10. \(\log \sqrt[11]{ \left(\frac{1}{10}\right) }=\log 10^{\frac{-1}{11}}=\frac{-1}{11}\)
11. \(\log \frac{1}{10^{7}}= \log 10^{-7}=-7\)
12. \(\log \sqrt[4]{ 10^{5} }=\log 10^{\frac{5}{4}}=\frac{5}{4}\)