Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = \frac{-7}{3}\\ \Leftrightarrow x =\log 10^{\frac{-7}{3}}\\ \Leftrightarrow x =\sqrt[3]{ \frac{1}{10^{7}} }\)
2. \(\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}\)
3. \(\log x = -2\\ \Leftrightarrow x = \log 10^{-2} \\ \Leftrightarrow x = \frac{1}{10^{2}}\)
4. \(\log x = -3\\ \Leftrightarrow x = \log 10^{-3} \\ \Leftrightarrow x = \frac{1}{10^{3}}\)
5. \(\log x = 1\\ \Leftrightarrow x = 10^{1} \\ \Leftrightarrow x =10\)
6. \(\log x = \frac{9}{10}\\ \Leftrightarrow x =\log 10^{\frac{9}{10}}\\ \Leftrightarrow x =\sqrt[10]{ 10^{9} }\)
7. \(\log x = \frac{9}{7}\\ \Leftrightarrow x =\log 10^{\frac{9}{7}}\\ \Leftrightarrow x =\sqrt[7]{ 10^{9} }\)
8. \(\log x = \frac{4}{7}\\ \Leftrightarrow x =\log 10^{\frac{4}{7}}\\ \Leftrightarrow x =\sqrt[7]{ 10^{4} }\)
9. \(\log x = 5\\ \Leftrightarrow x = 10^{5} \\ \Leftrightarrow x =100000\)
10. \(\log x = -8\\ \Leftrightarrow x = \log 10^{-8} \\ \Leftrightarrow x = \frac{1}{10^{8}}\)
11. \(\log x = 0\\ \Leftrightarrow x = 10^{0} \\ \Leftrightarrow x =1\)
12. \(\log x = -1\\ \Leftrightarrow x = 10^{-1} \\ \Leftrightarrow x =0{,}1\)