Rekenen met log₁₀ (reeks 1)

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Bereken

1. \(\log 1\)
2. \(\log 0{,}001\)
3. \(\log 0{,}01\)
4. \(\log \frac{1}{10^{6}}\)
5. \(\log \frac{1}{10^{9}}\)
6. \(\log 10000000\)
7. \(\log \left(\frac{1}{10}\right)^{3}\)
8. \(\log 10^{4}\)
9. \(\log \sqrt{ \left(\frac{1}{10}\right)^{5} } \)
10. \(\log \frac{1}{10^{5}}\)
11. \(\log \sqrt[7]{ 10^{9} }\)
12. \(\log 10\)

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Bereken

Verbetersleutel

1. \(\log 1= \log 10^{0}=0\)
2. \(\log 0{,}001= \log 10^{-3}=-3\)
3. \(\log 0{,}01= \log 10^{-2}=-2\)
4. \(\log \frac{1}{10^{6}}= \log 10^{-6}=-6\)
5. \(\log \frac{1}{10^{9}}= \log 10^{-9}=-9\)
6. \(\log 10000000= \log 10^{7}=7\)
7. \(\log \left(\frac{1}{10}\right)^{3}=\log 10^{\frac{-3}{1}}=\frac{-3}{1}\)
8. \(\log 10^{4}=\log 10^{\frac{4}{1}}=\frac{4}{1}\)
9. \(\log \sqrt{ \left(\frac{1}{10}\right)^{5} } =\log 10^{\frac{-5}{2}}=\frac{-5}{2}\)
10. \(\log \frac{1}{10^{5}}= \log 10^{-5}=-5\)
11. \(\log \sqrt[7]{ 10^{9} }=\log 10^{\frac{9}{7}}=\frac{9}{7}\)
12. \(\log 10= \log 10^{1}=1\)