Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = \frac{3}{1}\\ \Leftrightarrow x =\log 10^{\frac{3}{1}}\\ \Leftrightarrow x =10^{3}\)
2. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)
3. \(\log x = 5\\ \Leftrightarrow x = 10^{5} \\ \Leftrightarrow x =100000\)
4. \(\log x = 4\\ \Leftrightarrow x = 10^{4} \\ \Leftrightarrow x =10000\)
5. \(\log x = \frac{5}{11}\\ \Leftrightarrow x =\log 10^{\frac{5}{11}}\\ \Leftrightarrow x =\sqrt[11]{ 10^{5} }\)
6. \(\log x = -3\\ \Leftrightarrow x = \log 10^{-3} \\ \Leftrightarrow x = \frac{1}{10^{3}}\)
7. \(\log x = -2\\ \Leftrightarrow x = \log 10^{-2} \\ \Leftrightarrow x = \frac{1}{10^{2}}\)
8. \(\log x = 6\\ \Leftrightarrow x = 10^{6} \\ \Leftrightarrow x =1000000\)
9. \(\log x = \frac{1}{3}\\ \Leftrightarrow x =\log 10^{\frac{1}{3}}\\ \Leftrightarrow x =\sqrt[3]{ 10 }\)
10. \(\log x = 1\\ \Leftrightarrow x = 10^{1} \\ \Leftrightarrow x =10\)
11. \(\log x = -1\\ \Leftrightarrow x = \log 10^{-1} \\ \Leftrightarrow x = \frac{1}{10^{1}}\)
12. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)