Rekenen met log10 (reeks 2)

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Bepaal x

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

Bepaal x

Verbetersleutel

  1. \(\log x = 3\\ \Leftrightarrow x = 10^{3} \\ \Leftrightarrow x =1000\)
  2. \(\log x = -5\\ \Leftrightarrow x = \log 10^{-5} \\ \Leftrightarrow x = \frac{1}{10^{5}}\)
  3. \(\log x = 1\\ \Leftrightarrow x = 10^{1} \\ \Leftrightarrow x =10\)
  4. \(\log x = \frac{5}{3}\\ \Leftrightarrow x =\log 10^{\frac{5}{3}}\\ \Leftrightarrow x =\sqrt[3]{ 10^{5} }\)
  5. \(\log x = 8\\ \Leftrightarrow x = 10^{8} \\ \Leftrightarrow x =100000000\)
  6. \(\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}\)
  7. \(\log x = \frac{-5}{2}\\ \Leftrightarrow x =\log 10^{\frac{-5}{2}}\\ \Leftrightarrow x = \sqrt{ \frac{1}{10^{5}} } \)
  8. \(\log x = \frac{3}{2}\\ \Leftrightarrow x =\log 10^{\frac{3}{2}}\\ \Leftrightarrow x = \sqrt{ 10^{3} } \)
  9. \(\log x = 0\\ \Leftrightarrow x = 10^{0} \\ \Leftrightarrow x =1\)
  10. \(\log x = -1\\ \Leftrightarrow x = \log 10^{-1} \\ \Leftrightarrow x = \frac{1}{10^{1}}\)
  11. \(\log x = -4\\ \Leftrightarrow x = \log 10^{-4} \\ \Leftrightarrow x = \frac{1}{10^{4}}\)
  12. \(\log x = -3\\ \Leftrightarrow x = \log 10^{-3} \\ \Leftrightarrow x = \frac{1}{10^{3}}\)
Oefeningengenerator wiskundeoefeningen.be 2025-09-18 15:16:16
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