Rekenen met log10 (reeks 2)

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Bepaal x

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

Bepaal x

Verbetersleutel

  1. \(\log x = 1\\ \Leftrightarrow x = 10^{1} \\ \Leftrightarrow x =10\)
  2. \(\log x = 9\\ \Leftrightarrow x = 10^{9} \\ \Leftrightarrow x =1000000000\)
  3. \(\log x = 6\\ \Leftrightarrow x = 10^{6} \\ \Leftrightarrow x =1000000\)
  4. \(\log x = 4\\ \Leftrightarrow x = 10^{4} \\ \Leftrightarrow x =10000\)
  5. \(\log x = \frac{1}{12}\\ \Leftrightarrow x =\log 10^{\frac{1}{12}}\\ \Leftrightarrow x =\sqrt[12]{ 10 }\)
  6. \(\log x = -5\\ \Leftrightarrow x = \log 10^{-5} \\ \Leftrightarrow x = \frac{1}{10^{5}}\)
  7. \(\log x = 8\\ \Leftrightarrow x = 10^{8} \\ \Leftrightarrow x =100000000\)
  8. \(\log x = -3\\ \Leftrightarrow x = \log 10^{-3} \\ \Leftrightarrow x = \frac{1}{10^{3}}\)
  9. \(\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}\)
  10. \(\log x = \frac{5}{4}\\ \Leftrightarrow x =\log 10^{\frac{5}{4}}\\ \Leftrightarrow x =\sqrt[4]{ 10^{5} }\)
  11. \(\log x = -2\\ \Leftrightarrow x = 10^{-2} \\ \Leftrightarrow x =0,01\)
  12. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)
Oefeningengenerator vanhoeckes.be/wiskunde 2024-05-03 14:19:22