Rekenen met log₁₀ (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bepaal x

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

---

Bepaal x

Verbetersleutel

1. \(\log x = \frac{8}{11}\\ \Leftrightarrow x =\log 10^{\frac{8}{11}}\\ \Leftrightarrow x =\sqrt[11]{ 10^{8} }\)
2. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
3. \(\log x = -8\\ \Leftrightarrow x = \log 10^{-8} \\ \Leftrightarrow x = \frac{1}{10^{8}}\)
4. \(\log x = -3\\ \Leftrightarrow x = 10^{-3} \\ \Leftrightarrow x =0{,}001\)
5. \(\log x = 4\\ \Leftrightarrow x = 10^{4} \\ \Leftrightarrow x =10000\)
6. \(\log x = 2\\ \Leftrightarrow x = 10^{2} \\ \Leftrightarrow x =100\)
7. \(\log x = \frac{-3}{10}\\ \Leftrightarrow x =\log 10^{\frac{-3}{10}}\\ \Leftrightarrow x =\sqrt[10]{ \frac{1}{10^{3}} }\)
8. \(\log x = -5\\ \Leftrightarrow x = \log 10^{-5} \\ \Leftrightarrow x = \frac{1}{10^{5}}\)
9. \(\log x = 3\\ \Leftrightarrow x = 10^{3} \\ \Leftrightarrow x =1000\)
10. \(\log x = -1\\ \Leftrightarrow x = \log 10^{-1} \\ \Leftrightarrow x = \frac{1}{10^{1}}\)
11. \(\log x = -2\\ \Leftrightarrow x = \log 10^{-2} \\ \Leftrightarrow x = \frac{1}{10^{2}}\)
12. \(\log x = 8\\ \Leftrightarrow x = 10^{8} \\ \Leftrightarrow x =100000000\)