Rekenen met log10 (reeks 2)

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Bepaal x

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

Bepaal x

Verbetersleutel

  1. \(\log x = 4\\ \Leftrightarrow x = 10^{4} \\ \Leftrightarrow x =10000\)
  2. \(\log x = 5\\ \Leftrightarrow x = 10^{5} \\ \Leftrightarrow x =100000\)
  3. \(\log x = -3\\ \Leftrightarrow x = 10^{-3} \\ \Leftrightarrow x =0,001\)
  4. \(\log x = -2\\ \Leftrightarrow x = 10^{-2} \\ \Leftrightarrow x =0,01\)
  5. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
  6. \(\log x = \frac{-5}{1}\\ \Leftrightarrow x =\log 10^{\frac{-5}{1}}\\ \Leftrightarrow x =\frac{1}{10^{5}}\)
  7. \(\log x = \frac{5}{3}\\ \Leftrightarrow x =\log 10^{\frac{5}{3}}\\ \Leftrightarrow x =\sqrt[3]{ 10^{5} }\)
  8. \(\log x = \frac{-9}{8}\\ \Leftrightarrow x =\log 10^{\frac{-9}{8}}\\ \Leftrightarrow x =\sqrt[8]{ \frac{1}{10^{9}} }\)
  9. \(\log x = 6\\ \Leftrightarrow x = 10^{6} \\ \Leftrightarrow x =1000000\)
  10. \(\log x = -1\\ \Leftrightarrow x = \log 10^{-1} \\ \Leftrightarrow x = \frac{1}{10^{1}}\)
  11. \(\log x = -8\\ \Leftrightarrow x = \log 10^{-8} \\ \Leftrightarrow x = \frac{1}{10^{8}}\)
  12. \(\log x = \frac{3}{2}\\ \Leftrightarrow x =\log 10^{\frac{3}{2}}\\ \Leftrightarrow x = \sqrt{ 10^{3} } \)
Oefeningengenerator vanhoeckes.be/wiskunde 2026-09-13 19:50:24