Rekenen met log₁₀ (reeks 2)

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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = \frac{1}{3}\\ \Leftrightarrow x =\log 10^{\frac{1}{3}}\\ \Leftrightarrow x =\sqrt[3]{ 10 }\)
2. \(\log x = \frac{-8}{3}\\ \Leftrightarrow x =\log 10^{\frac{-8}{3}}\\ \Leftrightarrow x =\sqrt[3]{ \frac{1}{10^{8}} }\)
3. \(\log x = -3\\ \Leftrightarrow x = 10^{-3} \\ \Leftrightarrow x =0{,}001\)
4. \(\log x = -4\\ \Leftrightarrow x = \log 10^{-4} \\ \Leftrightarrow x = \frac{1}{10^{4}}\)
5. \(\log x = 7\\ \Leftrightarrow x = 10^{7} \\ \Leftrightarrow x =10000000\)
6. \(\log x = -5\\ \Leftrightarrow x = \log 10^{-5} \\ \Leftrightarrow x = \frac{1}{10^{5}}\)
7. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
8. \(\log x = \frac{7}{2}\\ \Leftrightarrow x =\log 10^{\frac{7}{2}}\\ \Leftrightarrow x = \sqrt{ 10^{7} } \)
9. \(\log x = 4\\ \Leftrightarrow x = 10^{4} \\ \Leftrightarrow x =10000\)
10. \(\log x = \frac{9}{2}\\ \Leftrightarrow x =\log 10^{\frac{9}{2}}\\ \Leftrightarrow x = \sqrt{ 10^{9} } \)
11. \(\log x = 6\\ \Leftrightarrow x = 10^{6} \\ \Leftrightarrow x =1000000\)
12. \(\log x = -2\\ \Leftrightarrow x = 10^{-2} \\ \Leftrightarrow x =0{,}01\)