Rekenen met log₁₀ (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bepaal x

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

---

Bepaal x

Verbetersleutel

1. \(\log x = 0\\ \Leftrightarrow x = 10^{0} \\ \Leftrightarrow x =1\)
2. \(\log x = \frac{-3}{1}\\ \Leftrightarrow x =\log 10^{\frac{-3}{1}}\\ \Leftrightarrow x =\frac{1}{10^{3}}\)
3. \(\log x = 3\\ \Leftrightarrow x = 10^{3} \\ \Leftrightarrow x =1000\)
4. \(\log x = \frac{-1}{5}\\ \Leftrightarrow x =\log 10^{\frac{-1}{5}}\\ \Leftrightarrow x =\sqrt[5]{ \frac{1}{10^{1}} }\)
5. \(\log x = \frac{6}{7}\\ \Leftrightarrow x =\log 10^{\frac{6}{7}}\\ \Leftrightarrow x =\sqrt[7]{ 10^{6} }\)
6. \(\log x = \frac{-3}{2}\\ \Leftrightarrow x =\log 10^{\frac{-3}{2}}\\ \Leftrightarrow x = \sqrt{ \frac{1}{10^{3}} } \)
7. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
8. \(\log x = -3\\ \Leftrightarrow x = \log 10^{-3} \\ \Leftrightarrow x = \frac{1}{10^{3}}\)
9. \(\log x = \frac{-1}{6}\\ \Leftrightarrow x =\log 10^{\frac{-1}{6}}\\ \Leftrightarrow x =\sqrt[6]{ \frac{1}{10^{1}} }\)
10. \(\log x = 4\\ \Leftrightarrow x = 10^{4} \\ \Leftrightarrow x =10000\)
11. \(\log x = 6\\ \Leftrightarrow x = 10^{6} \\ \Leftrightarrow x =1000000\)
12. \(\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}\)