Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = \frac{-11}{12}\\ \Leftrightarrow x =\log 10^{\frac{-11}{12}}\\ \Leftrightarrow x =\sqrt[12]{ \frac{1}{10^{11}} }\)
2. \(\log x = \frac{8}{3}\\ \Leftrightarrow x =\log 10^{\frac{8}{3}}\\ \Leftrightarrow x =\sqrt[3]{ 10^{8} }\)
3. \(\log x = -2\\ \Leftrightarrow x = 10^{-2} \\ \Leftrightarrow x =0{,}01\)
4. \(\log x = \frac{-6}{5}\\ \Leftrightarrow x =\log 10^{\frac{-6}{5}}\\ \Leftrightarrow x =\sqrt[5]{ \frac{1}{10^{6}} }\)
5. \(\log x = -4\\ \Leftrightarrow x = \log 10^{-4} \\ \Leftrightarrow x = \frac{1}{10^{4}}\)
6. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)
7. \(\log x = 8\\ \Leftrightarrow x = 10^{8} \\ \Leftrightarrow x =100000000\)
8. \(\log x = -3\\ \Leftrightarrow x = \log 10^{-3} \\ \Leftrightarrow x = \frac{1}{10^{3}}\)
9. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
10. \(\log x = -1\\ \Leftrightarrow x = 10^{-1} \\ \Leftrightarrow x =0{,}1\)
11. \(\log x = \frac{-5}{11}\\ \Leftrightarrow x =\log 10^{\frac{-5}{11}}\\ \Leftrightarrow x =\sqrt[11]{ \frac{1}{10^{5}} }\)
12. \(\log x = \frac{7}{11}\\ \Leftrightarrow x =\log 10^{\frac{7}{11}}\\ \Leftrightarrow x =\sqrt[11]{ 10^{7} }\)