Rekenen met log10 (reeks 2)

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Bepaal x

  1. \(\log x = -8\)
  2. \(\log x = 6\)
  3. \(\log x = \frac{7}{8}\)
  4. \(\log x = \frac{7}{5}\)
  5. \(\log x = \frac{-3}{11}\)
  6. \(\log x = 0\)
  7. \(\log x = \frac{2}{1}\)
  8. \(\log x = -2\)
  9. \(\log x = 5\)
  10. \(\log x = 8\)
  11. \(\log x = \frac{7}{11}\)
  12. \(\log x = 7\)

Bepaal x

Verbetersleutel

  1. \(\log x = -8\\ \Leftrightarrow x = \log 10^{-8} \\ \Leftrightarrow x = \frac{1}{10^{8}}\)
  2. \(\log x = 6\\ \Leftrightarrow x = 10^{6} \\ \Leftrightarrow x =1000000\)
  3. \(\log x = \frac{7}{8}\\ \Leftrightarrow x =\log 10^{\frac{7}{8}}\\ \Leftrightarrow x =\sqrt[8]{ 10^{7} }\)
  4. \(\log x = \frac{7}{5}\\ \Leftrightarrow x =\log 10^{\frac{7}{5}}\\ \Leftrightarrow x =\sqrt[5]{ 10^{7} }\)
  5. \(\log x = \frac{-3}{11}\\ \Leftrightarrow x =\log 10^{\frac{-3}{11}}\\ \Leftrightarrow x =\sqrt[11]{ \frac{1}{10^{3}} }\)
  6. \(\log x = 0\\ \Leftrightarrow x = 10^{0} \\ \Leftrightarrow x =1\)
  7. \(\log x = \frac{2}{1}\\ \Leftrightarrow x =\log 10^{\frac{2}{1}}\\ \Leftrightarrow x =10^{2}\)
  8. \(\log x = -2\\ \Leftrightarrow x = \log 10^{-2} \\ \Leftrightarrow x = \frac{1}{10^{2}}\)
  9. \(\log x = 5\\ \Leftrightarrow x = 10^{5} \\ \Leftrightarrow x =100000\)
  10. \(\log x = 8\\ \Leftrightarrow x = 10^{8} \\ \Leftrightarrow x =100000000\)
  11. \(\log x = \frac{7}{11}\\ \Leftrightarrow x =\log 10^{\frac{7}{11}}\\ \Leftrightarrow x =\sqrt[11]{ 10^{7} }\)
  12. \(\log x = 7\\ \Leftrightarrow x = 10^{7} \\ \Leftrightarrow x =10000000\)
Oefeningengenerator wiskundeoefeningen.be 2025-07-31 10:44:52
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