Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = -1\\ \Leftrightarrow x = \log 10^{-1} \\ \Leftrightarrow x = \frac{1}{10^{1}}\)
2. \(\log x = \frac{-6}{5}\\ \Leftrightarrow x =\log 10^{\frac{-6}{5}}\\ \Leftrightarrow x =\sqrt[5]{ \frac{1}{10^{6}} }\)
3. \(\log x = -2\\ \Leftrightarrow x = 10^{-2} \\ \Leftrightarrow x =0{,}01\)
4. \(\log x = -8\\ \Leftrightarrow x = \log 10^{-8} \\ \Leftrightarrow x = \frac{1}{10^{8}}\)
5. \(\log x = \frac{-9}{2}\\ \Leftrightarrow x =\log 10^{\frac{-9}{2}}\\ \Leftrightarrow x = \sqrt{ \frac{1}{10^{9}} } \)
6. \(\log x = \frac{-6}{11}\\ \Leftrightarrow x =\log 10^{\frac{-6}{11}}\\ \Leftrightarrow x =\sqrt[11]{ \frac{1}{10^{6}} }\)
7. \(\log x = \frac{4}{1}\\ \Leftrightarrow x =\log 10^{\frac{4}{1}}\\ \Leftrightarrow x =10^{4}\)
8. \(\log x = 3\\ \Leftrightarrow x = 10^{3} \\ \Leftrightarrow x =1000\)
9. \(\log x = \frac{-4}{11}\\ \Leftrightarrow x =\log 10^{\frac{-4}{11}}\\ \Leftrightarrow x =\sqrt[11]{ \frac{1}{10^{4}} }\)
10. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)
11. \(\log x = 2\\ \Leftrightarrow x = 10^{2} \\ \Leftrightarrow x =100\)
12. \(\log x = 7\\ \Leftrightarrow x = 10^{7} \\ \Leftrightarrow x =10000000\)