Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = -2\\ \Leftrightarrow x = \log 10^{-2} \\ \Leftrightarrow x = \frac{1}{10^{2}}\)
2. \(\log x = -3\\ \Leftrightarrow x = \log 10^{-3} \\ \Leftrightarrow x = \frac{1}{10^{3}}\)
3. \(\log x = -8\\ \Leftrightarrow x = \log 10^{-8} \\ \Leftrightarrow x = \frac{1}{10^{8}}\)
4. \(\log x = 8\\ \Leftrightarrow x = 10^{8} \\ \Leftrightarrow x =100000000\)
5. \(\log x = -1\\ \Leftrightarrow x = \log 10^{-1} \\ \Leftrightarrow x = \frac{1}{10^{1}}\)
6. \(\log x = \frac{-4}{3}\\ \Leftrightarrow x =\log 10^{\frac{-4}{3}}\\ \Leftrightarrow x =\sqrt[3]{ \frac{1}{10^{4}} }\)
7. \(\log x = 1\\ \Leftrightarrow x = 10^{1} \\ \Leftrightarrow x =10\)
8. \(\log x = 4\\ \Leftrightarrow x = 10^{4} \\ \Leftrightarrow x =10000\)
9. \(\log x = \frac{-1}{5}\\ \Leftrightarrow x =\log 10^{\frac{-1}{5}}\\ \Leftrightarrow x =\sqrt[5]{ \frac{1}{10^{1}} }\)
10. \(\log x = -4\\ \Leftrightarrow x = \log 10^{-4} \\ \Leftrightarrow x = \frac{1}{10^{4}}\)
11. \(\log x = -5\\ \Leftrightarrow x = \log 10^{-5} \\ \Leftrightarrow x = \frac{1}{10^{5}}\)
12. \(\log x = 9\\ \Leftrightarrow x = 10^{9} \\ \Leftrightarrow x =1000000000\)