Rekenen met log10 (reeks 2)

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Bepaal x

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

Bepaal x

Verbetersleutel

  1. \(\log x = 1\\ \Leftrightarrow x = 10^{1} \\ \Leftrightarrow x =10\)
  2. \(\log x = -8\\ \Leftrightarrow x = \log 10^{-8} \\ \Leftrightarrow x = \frac{1}{10^{8}}\)
  3. \(\log x = 9\\ \Leftrightarrow x = 10^{9} \\ \Leftrightarrow x =1000000000\)
  4. \(\log x = 5\\ \Leftrightarrow x = 10^{5} \\ \Leftrightarrow x =100000\)
  5. \(\log x = \frac{-5}{2}\\ \Leftrightarrow x =\log 10^{\frac{-5}{2}}\\ \Leftrightarrow x = \sqrt{ \frac{1}{10^{5}} } \)
  6. \(\log x = \frac{-8}{11}\\ \Leftrightarrow x =\log 10^{\frac{-8}{11}}\\ \Leftrightarrow x =\sqrt[11]{ \frac{1}{10^{8}} }\)
  7. \(\log x = -2\\ \Leftrightarrow x = 10^{-2} \\ \Leftrightarrow x =0,01\)
  8. \(\log x = 0\\ \Leftrightarrow x = 10^{0} \\ \Leftrightarrow x =1\)
  9. \(\log x = 4\\ \Leftrightarrow x = 10^{4} \\ \Leftrightarrow x =10000\)
  10. \(\log x = \frac{-4}{3}\\ \Leftrightarrow x =\log 10^{\frac{-4}{3}}\\ \Leftrightarrow x =\sqrt[3]{ \frac{1}{10^{4}} }\)
  11. \(\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}\)
  12. \(\log x = \frac{-6}{5}\\ \Leftrightarrow x =\log 10^{\frac{-6}{5}}\\ \Leftrightarrow x =\sqrt[5]{ \frac{1}{10^{6}} }\)
Oefeningengenerator vanhoeckes.be/wiskunde 2024-04-26 07:14:46