Rekenen met log₁₀ (reeks 1)

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Bereken

1. \(\log \frac{1}{10^{1}}\)
2. \(\log 10000\)
3. \(\log \sqrt{ 10^{7} } \)
4. \(\log \sqrt[8]{ 10 }\)
5. \(\log 0{,}001\)
6. \(\log 1\)
7. \(\log \sqrt[3]{ 10^{8} }\)
8. \(\log 1000\)
9. \(\log 100000000\)
10. \(\log \frac{1}{10^{9}}\)
11. \(\log \frac{1}{10^{6}}\)
12. \(\log 10^{4}\)

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Bereken

Verbetersleutel

1. \(\log \frac{1}{10^{1}}= \log 10^{-1}=-1\)
2. \(\log 10000= \log 10^{4}=4\)
3. \(\log \sqrt{ 10^{7} } =\log 10^{\frac{7}{2}}=\frac{7}{2}\)
4. \(\log \sqrt[8]{ 10 }=\log 10^{\frac{1}{8}}=\frac{1}{8}\)
5. \(\log 0{,}001= \log 10^{-3}=-3\)
6. \(\log 1= \log 10^{0}=0\)
7. \(\log \sqrt[3]{ 10^{8} }=\log 10^{\frac{8}{3}}=\frac{8}{3}\)
8. \(\log 1000= \log 10^{3}=3\)
9. \(\log 100000000= \log 10^{8}=8\)
10. \(\log \frac{1}{10^{9}}= \log 10^{-9}=-9\)
11. \(\log \frac{1}{10^{6}}= \log 10^{-6}=-6\)
12. \(\log 10^{4}=\log 10^{\frac{4}{1}}=\frac{4}{1}\)