Rekenen met log₁₀ (reeks 1)

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Bereken

1. \(\log \frac{1}{10^{7}}\)
2. \(\log 1000000\)
3. \(\log \sqrt[9]{ 10^{4} }\)
4. \(\log \sqrt{ \left(\frac{1}{10}\right)^{3} } \)
5. \(\log \frac{1}{10^{5}}\)
6. \(\log 1000000000\)
7. \(\log 0{,}1\)
8. \(\log \frac{1}{10^{3}}\)
9. \(\log \sqrt[9]{ \frac{1}{10^{1}} }\)
10. \(\log 10^{3}\)
11. \(\log 0{,}01\)
12. \(\log \sqrt[4]{ 10^{3} }\)

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Bereken

Verbetersleutel

1. \(\log \frac{1}{10^{7}}= \log 10^{-7}=-7\)
2. \(\log 1000000= \log 10^{6}=6\)
3. \(\log \sqrt[9]{ 10^{4} }=\log 10^{\frac{4}{9}}=\frac{4}{9}\)
4. \(\log \sqrt{ \left(\frac{1}{10}\right)^{3} } =\log 10^{\frac{-3}{2}}=\frac{-3}{2}\)
5. \(\log \frac{1}{10^{5}}= \log 10^{-5}=-5\)
6. \(\log 1000000000= \log 10^{9}=9\)
7. \(\log 0{,}1= \log 10^{-1}=-1\)
8. \(\log \frac{1}{10^{3}}= \log 10^{-3}=-3\)
9. \(\log \sqrt[9]{ \frac{1}{10^{1}} }=\log 10^{\frac{-1}{9}}=\frac{-1}{9}\)
10. \(\log 10^{3}=\log 10^{\frac{3}{1}}=\frac{3}{1}\)
11. \(\log 0{,}01= \log 10^{-2}=-2\)
12. \(\log \sqrt[4]{ 10^{3} }=\log 10^{\frac{3}{4}}=\frac{3}{4}\)