Rekenen met log10 (reeks 2)

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Bepaal x

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

Bepaal x

Verbetersleutel

  1. \(\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}\)
  2. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)
  3. \(\log x = 2\\ \Leftrightarrow x = 10^{2} \\ \Leftrightarrow x =100\)
  4. \(\log x = \frac{-1}{3}\\ \Leftrightarrow x =\log 10^{\frac{-1}{3}}\\ \Leftrightarrow x =\sqrt[3]{ \frac{1}{10^{1}} }\)
  5. \(\log x = 8\\ \Leftrightarrow x = 10^{8} \\ \Leftrightarrow x =100000000\)
  6. \(\log x = 9\\ \Leftrightarrow x = 10^{9} \\ \Leftrightarrow x =1000000000\)
  7. \(\log x = \frac{3}{1}\\ \Leftrightarrow x =\log 10^{\frac{3}{1}}\\ \Leftrightarrow x =10^{3}\)
  8. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
  9. \(\log x = -4\\ \Leftrightarrow x = \log 10^{-4} \\ \Leftrightarrow x = \frac{1}{10^{4}}\)
  10. \(\log x = 7\\ \Leftrightarrow x = 10^{7} \\ \Leftrightarrow x =10000000\)
  11. \(\log x = -1\\ \Leftrightarrow x = 10^{-1} \\ \Leftrightarrow x =0{,}1\)
  12. \(\log x = \frac{4}{1}\\ \Leftrightarrow x =\log 10^{\frac{4}{1}}\\ \Leftrightarrow x =10^{4}\)
Oefeningengenerator wiskundeoefeningen.be 2025-11-08 02:38:32
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