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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = 4\\ \Leftrightarrow x = 10^{4} \\ \Leftrightarrow x =10000\)
2. \(\log x = 0\\ \Leftrightarrow x = 10^{0} \\ \Leftrightarrow x =1\)
3. \(\log x = 1\\ \Leftrightarrow x = 10^{1} \\ \Leftrightarrow x =10\)
4. \(\log x = \frac{3}{2}\\ \Leftrightarrow x =\log 10^{\frac{3}{2}}\\ \Leftrightarrow x = \sqrt{ 10^{3} } \)
5. \(\log x = \frac{-5}{2}\\ \Leftrightarrow x =\log 10^{\frac{-5}{2}}\\ \Leftrightarrow x = \sqrt{ \frac{1}{10^{5}} } \)
6. \(\log x = -3\\ \Leftrightarrow x = 10^{-3} \\ \Leftrightarrow x =0{,}001\)
7. \(\log x = \frac{9}{11}\\ \Leftrightarrow x =\log 10^{\frac{9}{11}}\\ \Leftrightarrow x =\sqrt[11]{ 10^{9} }\)
8. \(\log x = \frac{-5}{3}\\ \Leftrightarrow x =\log 10^{\frac{-5}{3}}\\ \Leftrightarrow x =\sqrt[3]{ \frac{1}{10^{5}} }\)
9. \(\log x = -1\\ \Leftrightarrow x = \log 10^{-1} \\ \Leftrightarrow x = \frac{1}{10^{1}}\)
10. \(\log x = \frac{9}{8}\\ \Leftrightarrow x =\log 10^{\frac{9}{8}}\\ \Leftrightarrow x =\sqrt[8]{ 10^{9} }\)
11. \(\log x = 2\\ \Leftrightarrow x = 10^{2} \\ \Leftrightarrow x =100\)
12. \(\log x = 6\\ \Leftrightarrow x = 10^{6} \\ \Leftrightarrow x =1000000\)