Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

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