Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = -3\\ \Leftrightarrow x = \log 10^{-3} \\ \Leftrightarrow x = \frac{1}{10^{3}}\)
2. \(\log x = \frac{-1}{2}\\ \Leftrightarrow x =\log 10^{\frac{-1}{2}}\\ \Leftrightarrow x = \sqrt{ \frac{1}{10^{1}} } \)
3. \(\log x = \frac{4}{3}\\ \Leftrightarrow x =\log 10^{\frac{4}{3}}\\ \Leftrightarrow x =\sqrt[3]{ 10^{4} }\)
4. \(\log x = -5\\ \Leftrightarrow x = \log 10^{-5} \\ \Leftrightarrow x = \frac{1}{10^{5}}\)
5. \(\log x = \frac{-2}{3}\\ \Leftrightarrow x =\log 10^{\frac{-2}{3}}\\ \Leftrightarrow x =\sqrt[3]{ \frac{1}{10^{2}} }\)
6. \(\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}\)
7. \(\log x = \frac{-8}{5}\\ \Leftrightarrow x =\log 10^{\frac{-8}{5}}\\ \Leftrightarrow x =\sqrt[5]{ \frac{1}{10^{8}} }\)
8. \(\log x = 0\\ \Leftrightarrow x = 10^{0} \\ \Leftrightarrow x =1\)
9. \(\log x = 7\\ \Leftrightarrow x = 10^{7} \\ \Leftrightarrow x =10000000\)
10. \(\log x = 2\\ \Leftrightarrow x = 10^{2} \\ \Leftrightarrow x =100\)
11. \(\log x = \frac{-4}{1}\\ \Leftrightarrow x =\log 10^{\frac{-4}{1}}\\ \Leftrightarrow x =\frac{1}{10^{4}}\)
12. \(\log x = \frac{9}{10}\\ \Leftrightarrow x =\log 10^{\frac{9}{10}}\\ \Leftrightarrow x =\sqrt[10]{ 10^{9} }\)