Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)
2. \(\log x = 8\\ \Leftrightarrow x = 10^{8} \\ \Leftrightarrow x =100000000\)
3. \(\log x = -3\\ \Leftrightarrow x = 10^{-3} \\ \Leftrightarrow x =0{,}001\)
4. \(\log x = -4\\ \Leftrightarrow x = \log 10^{-4} \\ \Leftrightarrow x = \frac{1}{10^{4}}\)
5. \(\log x = \frac{-3}{5}\\ \Leftrightarrow x =\log 10^{\frac{-3}{5}}\\ \Leftrightarrow x =\sqrt[5]{ \frac{1}{10^{3}} }\)
6. \(\log x = -2\\ \Leftrightarrow x = \log 10^{-2} \\ \Leftrightarrow x = \frac{1}{10^{2}}\)
7. \(\log x = 9\\ \Leftrightarrow x = 10^{9} \\ \Leftrightarrow x =1000000000\)
8. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
9. \(\log x = \frac{-11}{10}\\ \Leftrightarrow x =\log 10^{\frac{-11}{10}}\\ \Leftrightarrow x =\sqrt[10]{ \frac{1}{10^{11}} }\)
10. \(\log x = \frac{-6}{5}\\ \Leftrightarrow x =\log 10^{\frac{-6}{5}}\\ \Leftrightarrow x =\sqrt[5]{ \frac{1}{10^{6}} }\)
11. \(\log x = 1\\ \Leftrightarrow x = 10^{1} \\ \Leftrightarrow x =10\)
12. \(\log x = \frac{6}{5}\\ \Leftrightarrow x =\log 10^{\frac{6}{5}}\\ \Leftrightarrow x =\sqrt[5]{ 10^{6} }\)