Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = -3\\ \Leftrightarrow x = 10^{-3} \\ \Leftrightarrow x =0{,}001\)
2. \(\log x = \frac{-1}{4}\\ \Leftrightarrow x =\log 10^{\frac{-1}{4}}\\ \Leftrightarrow x =\sqrt[4]{ \frac{1}{10^{1}} }\)
3. \(\log x = -2\\ \Leftrightarrow x = 10^{-2} \\ \Leftrightarrow x =0{,}01\)
4. \(\log x = 6\\ \Leftrightarrow x = 10^{6} \\ \Leftrightarrow x =1000000\)
5. \(\log x = \frac{10}{9}\\ \Leftrightarrow x =\log 10^{\frac{10}{9}}\\ \Leftrightarrow x =\sqrt[9]{ 10^{10} }\)
6. \(\log x = 7\\ \Leftrightarrow x = 10^{7} \\ \Leftrightarrow x =10000000\)
7. \(\log x = \frac{-2}{1}\\ \Leftrightarrow x =\log 10^{\frac{-2}{1}}\\ \Leftrightarrow x =\frac{1}{10^{2}}\)
8. \(\log x = \frac{-2}{11}\\ \Leftrightarrow x =\log 10^{\frac{-2}{11}}\\ \Leftrightarrow x =\sqrt[11]{ \frac{1}{10^{2}} }\)
9. \(\log x = -8\\ \Leftrightarrow x = \log 10^{-8} \\ \Leftrightarrow x = \frac{1}{10^{8}}\)
10. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
11. \(\log x = -5\\ \Leftrightarrow x = \log 10^{-5} \\ \Leftrightarrow x = \frac{1}{10^{5}}\)
12. \(\log x = \frac{-1}{10}\\ \Leftrightarrow x =\log 10^{\frac{-1}{10}}\\ \Leftrightarrow x =\sqrt[10]{ \frac{1}{10^{1}} }\)