Rekenen met log10 (reeks 2)

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Bepaal x

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

Bepaal x

Verbetersleutel

  1. \(\log x = 7\\ \Leftrightarrow x = 10^{7} \\ \Leftrightarrow x =10000000\)
  2. \(\log x = -2\\ \Leftrightarrow x = \log 10^{-2} \\ \Leftrightarrow x = \frac{1}{10^{2}}\)
  3. \(\log x = -5\\ \Leftrightarrow x = \log 10^{-5} \\ \Leftrightarrow x = \frac{1}{10^{5}}\)
  4. \(\log x = 6\\ \Leftrightarrow x = 10^{6} \\ \Leftrightarrow x =1000000\)
  5. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)
  6. \(\log x = 0\\ \Leftrightarrow x = 10^{0} \\ \Leftrightarrow x =1\)
  7. \(\log x = -4\\ \Leftrightarrow x = \log 10^{-4} \\ \Leftrightarrow x = \frac{1}{10^{4}}\)
  8. \(\log x = 4\\ \Leftrightarrow x = 10^{4} \\ \Leftrightarrow x =10000\)
  9. \(\log x = \frac{-11}{5}\\ \Leftrightarrow x =\log 10^{\frac{-11}{5}}\\ \Leftrightarrow x =\sqrt[5]{ \frac{1}{10^{11}} }\)
  10. \(\log x = \frac{8}{5}\\ \Leftrightarrow x =\log 10^{\frac{8}{5}}\\ \Leftrightarrow x =\sqrt[5]{ 10^{8} }\)
  11. \(\log x = \frac{-11}{7}\\ \Leftrightarrow x =\log 10^{\frac{-11}{7}}\\ \Leftrightarrow x =\sqrt[7]{ \frac{1}{10^{11}} }\)
  12. \(\log x = \frac{-9}{11}\\ \Leftrightarrow x =\log 10^{\frac{-9}{11}}\\ \Leftrightarrow x =\sqrt[11]{ \frac{1}{10^{9}} }\)
Oefeningengenerator wiskundeoefeningen.be 2026-11-07 16:48:26
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