Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = -8\\ \Leftrightarrow x = \log 10^{-8} \\ \Leftrightarrow x = \frac{1}{10^{8}}\)
2. \(\log x = \frac{-3}{1}\\ \Leftrightarrow x =\log 10^{\frac{-3}{1}}\\ \Leftrightarrow x =\frac{1}{10^{3}}\)
3. \(\log x = -3\\ \Leftrightarrow x = \log 10^{-3} \\ \Leftrightarrow x = \frac{1}{10^{3}}\)
4. \(\log x = -2\\ \Leftrightarrow x = 10^{-2} \\ \Leftrightarrow x =0{,}01\)
5. \(\log x = \frac{1}{2}\\ \Leftrightarrow x =\log 10^{\frac{1}{2}}\\ \Leftrightarrow x = \sqrt{ 10 } \)
6. \(\log x = \frac{7}{8}\\ \Leftrightarrow x =\log 10^{\frac{7}{8}}\\ \Leftrightarrow x =\sqrt[8]{ 10^{7} }\)
7. \(\log x = 5\\ \Leftrightarrow x = 10^{5} \\ \Leftrightarrow x =100000\)
8. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
9. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)
10. \(\log x = -1\\ \Leftrightarrow x = \log 10^{-1} \\ \Leftrightarrow x = \frac{1}{10^{1}}\)
11. \(\log x = 9\\ \Leftrightarrow x = 10^{9} \\ \Leftrightarrow x =1000000000\)
12. \(\log x = \frac{3}{1}\\ \Leftrightarrow x =\log 10^{\frac{3}{1}}\\ \Leftrightarrow x =10^{3}\)