Rekenen met log10 (reeks 2)

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Bepaal x

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

Bepaal x

Verbetersleutel

  1. \(\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}\)
  2. \(\log x = -1\\ \Leftrightarrow x = \log 10^{-1} \\ \Leftrightarrow x = \frac{1}{10^{1}}\)
  3. \(\log x = 2\\ \Leftrightarrow x = 10^{2} \\ \Leftrightarrow x =100\)
  4. \(\log x = -2\\ \Leftrightarrow x = \log 10^{-2} \\ \Leftrightarrow x = \frac{1}{10^{2}}\)
  5. \(\log x = \frac{-1}{2}\\ \Leftrightarrow x =\log 10^{\frac{-1}{2}}\\ \Leftrightarrow x = \sqrt{ \frac{1}{10^{1}} } \)
  6. \(\log x = -5\\ \Leftrightarrow x = \log 10^{-5} \\ \Leftrightarrow x = \frac{1}{10^{5}}\)
  7. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)
  8. \(\log x = \frac{-2}{5}\\ \Leftrightarrow x =\log 10^{\frac{-2}{5}}\\ \Leftrightarrow x =\sqrt[5]{ \frac{1}{10^{2}} }\)
  9. \(\log x = \frac{-3}{11}\\ \Leftrightarrow x =\log 10^{\frac{-3}{11}}\\ \Leftrightarrow x =\sqrt[11]{ \frac{1}{10^{3}} }\)
  10. \(\log x = 9\\ \Leftrightarrow x = 10^{9} \\ \Leftrightarrow x =1000000000\)
  11. \(\log x = \frac{-1}{7}\\ \Leftrightarrow x =\log 10^{\frac{-1}{7}}\\ \Leftrightarrow x =\sqrt[7]{ \frac{1}{10^{1}} }\)
  12. \(\log x = \frac{-10}{7}\\ \Leftrightarrow x =\log 10^{\frac{-10}{7}}\\ \Leftrightarrow x =\sqrt[7]{ \frac{1}{10^{10}} }\)
Oefeningengenerator wiskundeoefeningen.be 2025-06-30 21:15:43
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