Rekenen met log₁₀ (reeks 1)

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Bereken

1. \(\log \sqrt{ \left(\frac{1}{10}\right)^{3} } \)
2. \(\log 1000000\)
3. \(\log \sqrt[3]{ 10^{5} }\)
4. \(\log \frac{1}{10^{7}}\)
5. \(\log \sqrt[9]{ \frac{1}{10^{7}} }\)
6. \(\log \frac{1}{10^{5}}\)
7. \(\log \frac{1}{10^{9}}\)
8. \(\log \sqrt[5]{ 10^{2} }\)
9. \(\log \frac{1}{10^{6}}\)
10. \(\log 100\)
11. \(\log 10000\)
12. \(\log 0{,}1\)

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Bereken

Verbetersleutel

1. \(\log \sqrt{ \left(\frac{1}{10}\right)^{3} } =\log 10^{\frac{-3}{2}}=\frac{-3}{2}\)
2. \(\log 1000000= \log 10^{6}=6\)
3. \(\log \sqrt[3]{ 10^{5} }=\log 10^{\frac{5}{3}}=\frac{5}{3}\)
4. \(\log \frac{1}{10^{7}}= \log 10^{-7}=-7\)
5. \(\log \sqrt[9]{ \frac{1}{10^{7}} }=\log 10^{\frac{-7}{9}}=\frac{-7}{9}\)
6. \(\log \frac{1}{10^{5}}= \log 10^{-5}=-5\)
7. \(\log \frac{1}{10^{9}}= \log 10^{-9}=-9\)
8. \(\log \sqrt[5]{ 10^{2} }=\log 10^{\frac{2}{5}}=\frac{2}{5}\)
9. \(\log \frac{1}{10^{6}}= \log 10^{-6}=-6\)
10. \(\log 100= \log 10^{2}=2\)
11. \(\log 10000= \log 10^{4}=4\)
12. \(\log 0{,}1= \log 10^{-1}=-1\)