Rekenen met log10 (reeks 1)

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Bereken

  1. \(\log \frac{1}{10^{1}}\)
  2. \(\log \frac{1}{10^{9}}\)
  3. \(\log \frac{1}{10^{3}}\)
  4. \(\log \sqrt[11]{ 10^{7} }\)
  5. \(\log 100000\)
  6. \(\log \frac{1}{10^{2}}\)
  7. \(\log 10000000\)
  8. \(\log \sqrt[8]{ \left(\frac{1}{10}\right)^{11} }\)
  9. \(\log \sqrt[5]{ \left(\frac{1}{10}\right)^{4} }\)
  10. \(\log \frac{1}{10^{4}}\)
  11. \(\log \sqrt[3]{ 10^{5} }\)
  12. \(\log \sqrt[5]{ \left(\frac{1}{10}\right)^{2} }\)

Bereken

Verbetersleutel

  1. \(\log \frac{1}{10^{1}}= \log 10^{-1}=-1\)
  2. \(\log \frac{1}{10^{9}}= \log 10^{-9}=-9\)
  3. \(\log \frac{1}{10^{3}}= \log 10^{-3}=-3\)
  4. \(\log \sqrt[11]{ 10^{7} }=\log 10^{\frac{7}{11}}=\frac{7}{11}\)
  5. \(\log 100000= \log 10^{5}=5\)
  6. \(\log \frac{1}{10^{2}}= \log 10^{-2}=-2\)
  7. \(\log 10000000= \log 10^{7}=7\)
  8. \(\log \sqrt[8]{ \left(\frac{1}{10}\right)^{11} }=\log 10^{\frac{-11}{8}}=\frac{-11}{8}\)
  9. \(\log \sqrt[5]{ \left(\frac{1}{10}\right)^{4} }=\log 10^{\frac{-4}{5}}=\frac{-4}{5}\)
  10. \(\log \frac{1}{10^{4}}= \log 10^{-4}=-4\)
  11. \(\log \sqrt[3]{ 10^{5} }=\log 10^{\frac{5}{3}}=\frac{5}{3}\)
  12. \(\log \sqrt[5]{ \left(\frac{1}{10}\right)^{2} }=\log 10^{\frac{-2}{5}}=\frac{-2}{5}\)
Oefeningengenerator wiskundeoefeningen.be 2025-07-10 07:21:41
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