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Bepaal x

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

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Bepaal x

Verbetersleutel

1. \(\log x = 5\\ \Leftrightarrow x = 10^{5} \\ \Leftrightarrow x =100000\)
2. \(\log x = 7\\ \Leftrightarrow x = 10^{7} \\ \Leftrightarrow x =10000000\)
3. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
4. \(\log x = -1\\ \Leftrightarrow x = 10^{-1} \\ \Leftrightarrow x =0,1\)
5. \(\log x = \frac{-2}{5}\\ \Leftrightarrow x =\log 10^{\frac{-2}{5}}\\ \Leftrightarrow x =\sqrt[5]{ \frac{1}{10^{2}} }\)
6. \(\log x = \frac{-1}{4}\\ \Leftrightarrow x =\log 10^{\frac{-1}{4}}\\ \Leftrightarrow x =\sqrt[4]{ \frac{1}{10^{1}} }\)
7. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)
8. \(\log x = 0\\ \Leftrightarrow x = 10^{0} \\ \Leftrightarrow x =1\)
9. \(\log x = \frac{3}{5}\\ \Leftrightarrow x =\log 10^{\frac{3}{5}}\\ \Leftrightarrow x =\sqrt[5]{ 10^{3} }\)
10. \(\log x = \frac{-2}{3}\\ \Leftrightarrow x =\log 10^{\frac{-2}{3}}\\ \Leftrightarrow x =\sqrt[3]{ \frac{1}{10^{2}} }\)
11. \(\log x = \frac{3}{2}\\ \Leftrightarrow x =\log 10^{\frac{3}{2}}\\ \Leftrightarrow x = \sqrt{ 10^{3} } \)
12. \(\log x = \frac{-8}{5}\\ \Leftrightarrow x =\log 10^{\frac{-8}{5}}\\ \Leftrightarrow x =\sqrt[5]{ \frac{1}{10^{8}} }\)