Rekenen met log10 (reeks 1)

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Bereken

  1. \(\log \sqrt[7]{ 10^{6} }\)
  2. \(\log \frac{1}{10^{5}}\)
  3. \(\log 100000000\)
  4. \(\log \frac{1}{10^{7}}\)
  5. \(\log \sqrt[4]{ \left(\frac{1}{10}\right)^{11} }\)
  6. \(\log 1\)
  7. \(\log 100000\)
  8. \(\log \sqrt[9]{ \frac{1}{10^{11}} }\)
  9. \(\log \frac{1}{10^{2}}\)
  10. \(\log 1000\)
  11. \(\log 100\)
  12. \(\log \sqrt[9]{ 10^{8} }\)

Bereken

Verbetersleutel

  1. \(\log \sqrt[7]{ 10^{6} }=\log 10^{\frac{6}{7}}=\frac{6}{7}\)
  2. \(\log \frac{1}{10^{5}}= \log 10^{-5}=-5\)
  3. \(\log 100000000= \log 10^{8}=8\)
  4. \(\log \frac{1}{10^{7}}= \log 10^{-7}=-7\)
  5. \(\log \sqrt[4]{ \left(\frac{1}{10}\right)^{11} }=\log 10^{\frac{-11}{4}}=\frac{-11}{4}\)
  6. \(\log 1= \log 10^{0}=0\)
  7. \(\log 100000= \log 10^{5}=5\)
  8. \(\log \sqrt[9]{ \frac{1}{10^{11}} }=\log 10^{\frac{-11}{9}}=\frac{-11}{9}\)
  9. \(\log \frac{1}{10^{2}}= \log 10^{-2}=-2\)
  10. \(\log 1000= \log 10^{3}=3\)
  11. \(\log 100= \log 10^{2}=2\)
  12. \(\log \sqrt[9]{ 10^{8} }=\log 10^{\frac{8}{9}}=\frac{8}{9}\)
Oefeningengenerator vanhoeckes.be/wiskunde 2021-12-02 01:51:31