Rekenen met log10 (reeks 2)

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Bepaal x

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

Bepaal x

Verbetersleutel

  1. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)
  2. \(\log x = -1\\ \Leftrightarrow x = 10^{-1} \\ \Leftrightarrow x =0,1\)
  3. \(\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}\)
  4. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
  5. \(\log x = -3\\ \Leftrightarrow x = 10^{-3} \\ \Leftrightarrow x =0,001\)
  6. \(\log x = 5\\ \Leftrightarrow x = 10^{5} \\ \Leftrightarrow x =100000\)
  7. \(\log x = 2\\ \Leftrightarrow x = 10^{2} \\ \Leftrightarrow x =100\)
  8. \(\log x = 3\\ \Leftrightarrow x = 10^{3} \\ \Leftrightarrow x =1000\)
  9. \(\log x = -5\\ \Leftrightarrow x = \log 10^{-5} \\ \Leftrightarrow x = \frac{1}{10^{5}}\)
  10. \(\log x = \frac{-3}{5}\\ \Leftrightarrow x =\log 10^{\frac{-3}{5}}\\ \Leftrightarrow x =\sqrt[5]{ \frac{1}{10^{3}} }\)
  11. \(\log x = -2\\ \Leftrightarrow x = \log 10^{-2} \\ \Leftrightarrow x = \frac{1}{10^{2}}\)
  12. \(\log x = \frac{4}{7}\\ \Leftrightarrow x =\log 10^{\frac{4}{7}}\\ \Leftrightarrow x =\sqrt[7]{ 10^{4} }\)
Oefeningengenerator vanhoeckes.be/wiskunde 2024-05-14 13:44:52