Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = -4\\ \Leftrightarrow x = \log 10^{-4} \\ \Leftrightarrow x = \frac{1}{10^{4}}\)
2. \(\log x = -8\\ \Leftrightarrow x = \log 10^{-8} \\ \Leftrightarrow x = \frac{1}{10^{8}}\)
3. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
4. \(\log x = 7\\ \Leftrightarrow x = 10^{7} \\ \Leftrightarrow x =10000000\)
5. \(\log x = -2\\ \Leftrightarrow x = 10^{-2} \\ \Leftrightarrow x =0{,}01\)
6. \(\log x = \frac{11}{4}\\ \Leftrightarrow x =\log 10^{\frac{11}{4}}\\ \Leftrightarrow x =\sqrt[4]{ 10^{11} }\)
7. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)
8. \(\log x = \frac{-1}{7}\\ \Leftrightarrow x =\log 10^{\frac{-1}{7}}\\ \Leftrightarrow x =\sqrt[7]{ \frac{1}{10^{1}} }\)
9. \(\log x = \frac{10}{9}\\ \Leftrightarrow x =\log 10^{\frac{10}{9}}\\ \Leftrightarrow x =\sqrt[9]{ 10^{10} }\)
10. \(\log x = \frac{-5}{6}\\ \Leftrightarrow x =\log 10^{\frac{-5}{6}}\\ \Leftrightarrow x =\sqrt[6]{ \frac{1}{10^{5}} }\)
11. \(\log x = 9\\ \Leftrightarrow x = 10^{9} \\ \Leftrightarrow x =1000000000\)
12. \(\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}\)