Rekenen met log10 (reeks 2)

Hoofdmenu Eentje per keer 

Bepaal x

  1. \(\log x = \frac{-3}{1}\)
  2. \(\log x = -1\)
  3. \(\log x = 0\)
  4. \(\log x = -4\)
  5. \(\log x = \frac{-2}{9}\)
  6. \(\log x = -5\)
  7. \(\log x = 3\)
  8. \(\log x = \frac{-11}{4}\)
  9. \(\log x = -9\)
  10. \(\log x = -7\)
  11. \(\log x = 8\)
  12. \(\log x = 6\)

Bepaal x

Verbetersleutel

  1. \(\log x = \frac{-3}{1}\\ \Leftrightarrow x =\log 10^{\frac{-3}{1}}\\ \Leftrightarrow x =\frac{1}{10^{3}}\)
  2. \(\log x = -1\\ \Leftrightarrow x = \log 10^{-1} \\ \Leftrightarrow x = \frac{1}{10^{1}}\)
  3. \(\log x = 0\\ \Leftrightarrow x = 10^{0} \\ \Leftrightarrow x =1\)
  4. \(\log x = -4\\ \Leftrightarrow x = \log 10^{-4} \\ \Leftrightarrow x = \frac{1}{10^{4}}\)
  5. \(\log x = \frac{-2}{9}\\ \Leftrightarrow x =\log 10^{\frac{-2}{9}}\\ \Leftrightarrow x =\sqrt[9]{ \frac{1}{10^{2}} }\)
  6. \(\log x = -5\\ \Leftrightarrow x = \log 10^{-5} \\ \Leftrightarrow x = \frac{1}{10^{5}}\)
  7. \(\log x = 3\\ \Leftrightarrow x = 10^{3} \\ \Leftrightarrow x =1000\)
  8. \(\log x = \frac{-11}{4}\\ \Leftrightarrow x =\log 10^{\frac{-11}{4}}\\ \Leftrightarrow x =\sqrt[4]{ \frac{1}{10^{11}} }\)
  9. \(\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}\)
  10. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
  11. \(\log x = 8\\ \Leftrightarrow x = 10^{8} \\ \Leftrightarrow x =100000000\)
  12. \(\log x = 6\\ \Leftrightarrow x = 10^{6} \\ \Leftrightarrow x =1000000\)
Oefeningengenerator wiskundeoefeningen.be 2025-12-26 15:23:04
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