Rekenen met log10 (reeks 1)

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Bereken

  1. \(\log \frac{1}{10^{6}}\)
  2. \(\log \sqrt[7]{ 10^{2} }\)
  3. \(\log \frac{1}{10^{8}}\)
  4. \(\log \frac{1}{10^{3}}\)
  5. \(\log \frac{1}{10^{1}}\)
  6. \(\log \sqrt[11]{ \frac{1}{10^{8}} }\)
  7. \(\log 0,01\)
  8. \(\log 1000000000\)
  9. \(\log \sqrt[12]{ 10^{7} }\)
  10. \(\log 1000\)
  11. \(\log \sqrt[5]{ \left(\frac{1}{10}\right) }\)
  12. \(\log \sqrt[4]{ \left(\frac{1}{10}\right)^{3} }\)

Bereken

Verbetersleutel

  1. \(\log \frac{1}{10^{6}}= \log 10^{-6}=-6\)
  2. \(\log \sqrt[7]{ 10^{2} }=\log 10^{\frac{2}{7}}=\frac{2}{7}\)
  3. \(\log \frac{1}{10^{8}}= \log 10^{-8}=-8\)
  4. \(\log \frac{1}{10^{3}}= \log 10^{-3}=-3\)
  5. \(\log \frac{1}{10^{1}}= \log 10^{-1}=-1\)
  6. \(\log \sqrt[11]{ \frac{1}{10^{8}} }=\log 10^{\frac{-8}{11}}=\frac{-8}{11}\)
  7. \(\log 0,01= \log 10^{-2}=-2\)
  8. \(\log 1000000000= \log 10^{9}=9\)
  9. \(\log \sqrt[12]{ 10^{7} }=\log 10^{\frac{7}{12}}=\frac{7}{12}\)
  10. \(\log 1000= \log 10^{3}=3\)
  11. \(\log \sqrt[5]{ \left(\frac{1}{10}\right) }=\log 10^{\frac{-1}{5}}=\frac{-1}{5}\)
  12. \(\log \sqrt[4]{ \left(\frac{1}{10}\right)^{3} }=\log 10^{\frac{-3}{4}}=\frac{-3}{4}\)
Oefeningengenerator vanhoeckes.be/wiskunde 2022-06-27 07:43:34