Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

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