Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}\)
2. \(\log x = -1\\ \Leftrightarrow x = \log 10^{-1} \\ \Leftrightarrow x = \frac{1}{10^{1}}\)
3. \(\log x = \frac{-11}{7}\\ \Leftrightarrow x =\log 10^{\frac{-11}{7}}\\ \Leftrightarrow x =\sqrt[7]{ \frac{1}{10^{11}} }\)
4. \(\log x = 9\\ \Leftrightarrow x = 10^{9} \\ \Leftrightarrow x =1000000000\)
5. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
6. \(\log x = 6\\ \Leftrightarrow x = 10^{6} \\ \Leftrightarrow x =1000000\)
7. \(\log x = -2\\ \Leftrightarrow x = 10^{-2} \\ \Leftrightarrow x =0{,}01\)
8. \(\log x = 8\\ \Leftrightarrow x = 10^{8} \\ \Leftrightarrow x =100000000\)
9. \(\log x = -5\\ \Leftrightarrow x = \log 10^{-5} \\ \Leftrightarrow x = \frac{1}{10^{5}}\)
10. \(\log x = 1\\ \Leftrightarrow x = 10^{1} \\ \Leftrightarrow x =10\)
11. \(\log x = \frac{3}{1}\\ \Leftrightarrow x =\log 10^{\frac{3}{1}}\\ \Leftrightarrow x =10^{3}\)
12. \(\log x = \frac{-11}{12}\\ \Leftrightarrow x =\log 10^{\frac{-11}{12}}\\ \Leftrightarrow x =\sqrt[12]{ \frac{1}{10^{11}} }\)