Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = \frac{-1}{2}\\ \Leftrightarrow x =\log 10^{\frac{-1}{2}}\\ \Leftrightarrow x = \sqrt{ \frac{1}{10^{1}} } \)
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. \(\log x = -2\\ \Leftrightarrow x = 10^{-2} \\ \Leftrightarrow x =0,01\)
5. \(\log x = 5\\ \Leftrightarrow x = 10^{5} \\ \Leftrightarrow x =100000\)
6. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
7. \(\log x = \frac{3}{4}\\ \Leftrightarrow x =\log 10^{\frac{3}{4}}\\ \Leftrightarrow x =\sqrt[4]{ 10^{3} }\)
8. \(\log x = \frac{-5}{4}\\ \Leftrightarrow x =\log 10^{\frac{-5}{4}}\\ \Leftrightarrow x =\sqrt[4]{ \frac{1}{10^{5}} }\)
9. \(\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}\)
10. \(\log x = -3\\ \Leftrightarrow x = 10^{-3} \\ \Leftrightarrow x =0,001\)
11. \(\log x = \frac{-4}{3}\\ \Leftrightarrow x =\log 10^{\frac{-4}{3}}\\ \Leftrightarrow x =\sqrt[3]{ \frac{1}{10^{4}} }\)
12. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)