Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = -5\\ \Leftrightarrow x = \log 10^{-5} \\ \Leftrightarrow x = \frac{1}{10^{5}}\)
2. \(\log x = 6\\ \Leftrightarrow x = 10^{6} \\ \Leftrightarrow x =1000000\)
3. \(\log x = -2\\ \Leftrightarrow x = \log 10^{-2} \\ \Leftrightarrow x = \frac{1}{10^{2}}\)
4. \(\log x = 0\\ \Leftrightarrow x = 10^{0} \\ \Leftrightarrow x =1\)
5. \(\log x = \frac{5}{4}\\ \Leftrightarrow x =\log 10^{\frac{5}{4}}\\ \Leftrightarrow x =\sqrt[4]{ 10^{5} }\)
6. \(\log x = \frac{-9}{10}\\ \Leftrightarrow x =\log 10^{\frac{-9}{10}}\\ \Leftrightarrow x =\sqrt[10]{ \frac{1}{10^{9}} }\)
7. \(\log x = 2\\ \Leftrightarrow x = 10^{2} \\ \Leftrightarrow x =100\)
8. \(\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}\)
9. \(\log x = \frac{1}{6}\\ \Leftrightarrow x =\log 10^{\frac{1}{6}}\\ \Leftrightarrow x =\sqrt[6]{ 10 }\)
10. \(\log x = \frac{11}{5}\\ \Leftrightarrow x =\log 10^{\frac{11}{5}}\\ \Leftrightarrow x =\sqrt[5]{ 10^{11} }\)
11. \(\log x = 4\\ \Leftrightarrow x = 10^{4} \\ \Leftrightarrow x =10000\)
12. \(\log x = -4\\ \Leftrightarrow x = \log 10^{-4} \\ \Leftrightarrow x = \frac{1}{10^{4}}\)