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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = -4\\ \Leftrightarrow x = \log 10^{-4} \\ \Leftrightarrow x = \frac{1}{10^{4}}\)
2. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)
3. \(\log x = 9\\ \Leftrightarrow x = 10^{9} \\ \Leftrightarrow x =1000000000\)
4. \(\log x = \frac{4}{5}\\ \Leftrightarrow x =\log 10^{\frac{4}{5}}\\ \Leftrightarrow x =\sqrt[5]{ 10^{4} }\)
5. \(\log x = \frac{1}{6}\\ \Leftrightarrow x =\log 10^{\frac{1}{6}}\\ \Leftrightarrow x =\sqrt[6]{ 10 }\)
6. \(\log x = 4\\ \Leftrightarrow x = 10^{4} \\ \Leftrightarrow x =10000\)
7. \(\log x = -2\\ \Leftrightarrow x = \log 10^{-2} \\ \Leftrightarrow x = \frac{1}{10^{2}}\)
8. \(\log x = -3\\ \Leftrightarrow x = \log 10^{-3} \\ \Leftrightarrow x = \frac{1}{10^{3}}\)
9. \(\log x = -1\\ \Leftrightarrow x = 10^{-1} \\ \Leftrightarrow x =0{,}1\)
10. \(\log x = \frac{3}{10}\\ \Leftrightarrow x =\log 10^{\frac{3}{10}}\\ \Leftrightarrow x =\sqrt[10]{ 10^{3} }\)
11. \(\log x = \frac{2}{1}\\ \Leftrightarrow x =\log 10^{\frac{2}{1}}\\ \Leftrightarrow x =10^{2}\)
12. \(\log x = \frac{2}{3}\\ \Leftrightarrow x =\log 10^{\frac{2}{3}}\\ \Leftrightarrow x =\sqrt[3]{ 10^{2} }\)