Rekenen met log10 (reeks 1)

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Bereken

  1. \(\log 100\)
  2. \(\log \frac{1}{10^{2}}\)
  3. \(\log \frac{1}{10^{6}}\)
  4. \(\log 10000000\)
  5. \(\log \sqrt[5]{ 10^{4} }\)
  6. \(\log \frac{1}{10^{4}}\)
  7. \(\log \frac{1}{10^{9}}\)
  8. \(\log \frac{1}{10^{5}}\)
  9. \(\log \sqrt[6]{ \left(\frac{1}{10}\right)^{7} }\)
  10. \(\log \sqrt[7]{ \frac{1}{10^{9}} }\)
  11. \(\log 1000000000\)
  12. \(\log \sqrt[6]{ 10^{7} }\)

Bereken

Verbetersleutel

  1. \(\log 100= \log 10^{2}=2\)
  2. \(\log \frac{1}{10^{2}}= \log 10^{-2}=-2\)
  3. \(\log \frac{1}{10^{6}}= \log 10^{-6}=-6\)
  4. \(\log 10000000= \log 10^{7}=7\)
  5. \(\log \sqrt[5]{ 10^{4} }=\log 10^{\frac{4}{5}}=\frac{4}{5}\)
  6. \(\log \frac{1}{10^{4}}= \log 10^{-4}=-4\)
  7. \(\log \frac{1}{10^{9}}= \log 10^{-9}=-9\)
  8. \(\log \frac{1}{10^{5}}= \log 10^{-5}=-5\)
  9. \(\log \sqrt[6]{ \left(\frac{1}{10}\right)^{7} }=\log 10^{\frac{-7}{6}}=\frac{-7}{6}\)
  10. \(\log \sqrt[7]{ \frac{1}{10^{9}} }=\log 10^{\frac{-9}{7}}=\frac{-9}{7}\)
  11. \(\log 1000000000= \log 10^{9}=9\)
  12. \(\log \sqrt[6]{ 10^{7} }=\log 10^{\frac{7}{6}}=\frac{7}{6}\)
Oefeningengenerator vanhoeckes.be/wiskunde 2024-03-28 11:06:32