Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = \frac{1}{11}\\ \Leftrightarrow x =\log 10^{\frac{1}{11}}\\ \Leftrightarrow x =\sqrt[11]{ 10 }\)
2. \(\log x = \frac{12}{11}\\ \Leftrightarrow x =\log 10^{\frac{12}{11}}\\ \Leftrightarrow x =\sqrt[11]{ 10^{12} }\)
3. \(\log x = \frac{1}{6}\\ \Leftrightarrow x =\log 10^{\frac{1}{6}}\\ \Leftrightarrow x =\sqrt[6]{ 10 }\)
4. \(\log x = \frac{9}{7}\\ \Leftrightarrow x =\log 10^{\frac{9}{7}}\\ \Leftrightarrow x =\sqrt[7]{ 10^{9} }\)
5. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)
6. \(\log x = 8\\ \Leftrightarrow x = 10^{8} \\ \Leftrightarrow x =100000000\)
7. \(\log x = -3\\ \Leftrightarrow x = \log 10^{-3} \\ \Leftrightarrow x = \frac{1}{10^{3}}\)
8. \(\log x = \frac{8}{9}\\ \Leftrightarrow x =\log 10^{\frac{8}{9}}\\ \Leftrightarrow x =\sqrt[9]{ 10^{8} }\)
9. \(\log x = 5\\ \Leftrightarrow x = 10^{5} \\ \Leftrightarrow x =100000\)
10. \(\log x = -2\\ \Leftrightarrow x = 10^{-2} \\ \Leftrightarrow x =0,01\)
11. \(\log x = -4\\ \Leftrightarrow x = \log 10^{-4} \\ \Leftrightarrow x = \frac{1}{10^{4}}\)
12. \(\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}\)