Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = \frac{-3}{1}\\ \Leftrightarrow x =\log 10^{\frac{-3}{1}}\\ \Leftrightarrow x =\frac{1}{10^{3}}\)
2. \(\log x = -1\\ \Leftrightarrow x = \log 10^{-1} \\ \Leftrightarrow x = \frac{1}{10^{1}}\)
3. \(\log x = 0\\ \Leftrightarrow x = 10^{0} \\ \Leftrightarrow x =1\)
4. \(\log x = -4\\ \Leftrightarrow x = \log 10^{-4} \\ \Leftrightarrow x = \frac{1}{10^{4}}\)
5. \(\log x = \frac{-2}{9}\\ \Leftrightarrow x =\log 10^{\frac{-2}{9}}\\ \Leftrightarrow x =\sqrt[9]{ \frac{1}{10^{2}} }\)
6. \(\log x = -5\\ \Leftrightarrow x = \log 10^{-5} \\ \Leftrightarrow x = \frac{1}{10^{5}}\)
7. \(\log x = 3\\ \Leftrightarrow x = 10^{3} \\ \Leftrightarrow x =1000\)
8. \(\log x = \frac{-11}{4}\\ \Leftrightarrow x =\log 10^{\frac{-11}{4}}\\ \Leftrightarrow x =\sqrt[4]{ \frac{1}{10^{11}} }\)
9. \(\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}\)
10. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
11. \(\log x = 8\\ \Leftrightarrow x = 10^{8} \\ \Leftrightarrow x =100000000\)
12. \(\log x = 6\\ \Leftrightarrow x = 10^{6} \\ \Leftrightarrow x =1000000\)