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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
2. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)
3. \(\log x = 7\\ \Leftrightarrow x = 10^{7} \\ \Leftrightarrow x =10000000\)
4. \(\log x = \frac{-1}{3}\\ \Leftrightarrow x =\log 10^{\frac{-1}{3}}\\ \Leftrightarrow x =\sqrt[3]{ \frac{1}{10^{1}} }\)
5. \(\log x = -1\\ \Leftrightarrow x = \log 10^{-1} \\ \Leftrightarrow x = \frac{1}{10^{1}}\)
6. \(\log x = \frac{-2}{7}\\ \Leftrightarrow x =\log 10^{\frac{-2}{7}}\\ \Leftrightarrow x =\sqrt[7]{ \frac{1}{10^{2}} }\)
7. \(\log x = 2\\ \Leftrightarrow x = 10^{2} \\ \Leftrightarrow x =100\)
8. \(\log x = \frac{5}{4}\\ \Leftrightarrow x =\log 10^{\frac{5}{4}}\\ \Leftrightarrow x =\sqrt[4]{ 10^{5} }\)
9. \(\log x = 0\\ \Leftrightarrow x = 10^{0} \\ \Leftrightarrow x =1\)
10. \(\log x = \frac{-11}{7}\\ \Leftrightarrow x =\log 10^{\frac{-11}{7}}\\ \Leftrightarrow x =\sqrt[7]{ \frac{1}{10^{11}} }\)
11. \(\log x = \frac{-3}{2}\\ \Leftrightarrow x =\log 10^{\frac{-3}{2}}\\ \Leftrightarrow x = \sqrt{ \frac{1}{10^{3}} } \)
12. \(\log x = 6\\ \Leftrightarrow x = 10^{6} \\ \Leftrightarrow x =1000000\)