Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = \frac{-2}{1}\\ \Leftrightarrow x =\log 10^{\frac{-2}{1}}\\ \Leftrightarrow x =\frac{1}{10^{2}}\)
2. \(\log x = \frac{1}{4}\\ \Leftrightarrow x =\log 10^{\frac{1}{4}}\\ \Leftrightarrow x =\sqrt[4]{ 10 }\)
3. \(\log x = 4\\ \Leftrightarrow x = 10^{4} \\ \Leftrightarrow x =10000\)
4. \(\log x = \frac{-2}{5}\\ \Leftrightarrow x =\log 10^{\frac{-2}{5}}\\ \Leftrightarrow x =\sqrt[5]{ \frac{1}{10^{2}} }\)
5. \(\log x = \frac{9}{7}\\ \Leftrightarrow x =\log 10^{\frac{9}{7}}\\ \Leftrightarrow x =\sqrt[7]{ 10^{9} }\)
6. \(\log x = \frac{7}{10}\\ \Leftrightarrow x =\log 10^{\frac{7}{10}}\\ \Leftrightarrow x =\sqrt[10]{ 10^{7} }\)
7. \(\log x = 2\\ \Leftrightarrow x = 10^{2} \\ \Leftrightarrow x =100\)
8. \(\log x = -4\\ \Leftrightarrow x = \log 10^{-4} \\ \Leftrightarrow x = \frac{1}{10^{4}}\)
9. \(\log x = 9\\ \Leftrightarrow x = 10^{9} \\ \Leftrightarrow x =1000000000\)
10. \(\log x = 3\\ \Leftrightarrow x = 10^{3} \\ \Leftrightarrow x =1000\)
11. \(\log x = \frac{2}{1}\\ \Leftrightarrow x =\log 10^{\frac{2}{1}}\\ \Leftrightarrow x =10^{2}\)
12. \(\log x = -1\\ \Leftrightarrow x = 10^{-1} \\ \Leftrightarrow x =0{,}1\)