Rekenen met log₁₀ (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bepaal x

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

---

Bepaal x

Verbetersleutel

1. \(\log x = -1\\ \Leftrightarrow x = \log 10^{-1} \\ \Leftrightarrow x = \frac{1}{10^{1}}\)
2. \(\log x = \frac{1}{8}\\ \Leftrightarrow x =\log 10^{\frac{1}{8}}\\ \Leftrightarrow x =\sqrt[8]{ 10 }\)
3. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)
4. \(\log x = 6\\ \Leftrightarrow x = 10^{6} \\ \Leftrightarrow x =1000000\)
5. \(\log x = -3\\ \Leftrightarrow x = \log 10^{-3} \\ \Leftrightarrow x = \frac{1}{10^{3}}\)
6. \(\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}\)
7. \(\log x = -5\\ \Leftrightarrow x = \log 10^{-5} \\ \Leftrightarrow x = \frac{1}{10^{5}}\)
8. \(\log x = \frac{9}{10}\\ \Leftrightarrow x =\log 10^{\frac{9}{10}}\\ \Leftrightarrow x =\sqrt[10]{ 10^{9} }\)
9. \(\log x = \frac{1}{4}\\ \Leftrightarrow x =\log 10^{\frac{1}{4}}\\ \Leftrightarrow x =\sqrt[4]{ 10 }\)
10. \(\log x = \frac{-7}{9}\\ \Leftrightarrow x =\log 10^{\frac{-7}{9}}\\ \Leftrightarrow x =\sqrt[9]{ \frac{1}{10^{7}} }\)
11. \(\log x = 8\\ \Leftrightarrow x = 10^{8} \\ \Leftrightarrow x =100000000\)
12. \(\log x = -2\\ \Leftrightarrow x = \log 10^{-2} \\ \Leftrightarrow x = \frac{1}{10^{2}}\)