Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

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