Rekenen met log10 (reeks 2)

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Bepaal x

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

Bepaal x

Verbetersleutel

  1. \(\log x = \frac{-12}{11}\\ \Leftrightarrow x =\log 10^{\frac{-12}{11}}\\ \Leftrightarrow x =\sqrt[11]{ \frac{1}{10^{12}} }\)
  2. \(\log x = 2\\ \Leftrightarrow x = 10^{2} \\ \Leftrightarrow x =100\)
  3. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)
  4. \(\log x = 0\\ \Leftrightarrow x = 10^{0} \\ \Leftrightarrow x =1\)
  5. \(\log x = 9\\ \Leftrightarrow x = 10^{9} \\ \Leftrightarrow x =1000000000\)
  6. \(\log x = \frac{3}{2}\\ \Leftrightarrow x =\log 10^{\frac{3}{2}}\\ \Leftrightarrow x = \sqrt{ 10^{3} } \)
  7. \(\log x = 4\\ \Leftrightarrow x = 10^{4} \\ \Leftrightarrow x =10000\)
  8. \(\log x = \frac{-7}{3}\\ \Leftrightarrow x =\log 10^{\frac{-7}{3}}\\ \Leftrightarrow x =\sqrt[3]{ \frac{1}{10^{7}} }\)
  9. \(\log x = -4\\ \Leftrightarrow x = \log 10^{-4} \\ \Leftrightarrow x = \frac{1}{10^{4}}\)
  10. \(\log x = \frac{-8}{7}\\ \Leftrightarrow x =\log 10^{\frac{-8}{7}}\\ \Leftrightarrow x =\sqrt[7]{ \frac{1}{10^{8}} }\)
  11. \(\log x = 8\\ \Leftrightarrow x = 10^{8} \\ \Leftrightarrow x =100000000\)
  12. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
Oefeningengenerator vanhoeckes.be/wiskunde 2022-06-27 08:16:08