Rekenen met log₁₀ (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bepaal x

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

---

Bepaal x

Verbetersleutel

1. \(\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}\)
2. \(\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}\)
3. \(\log x = -3\\ \Leftrightarrow x = \log 10^{-3} \\ \Leftrightarrow x = \frac{1}{10^{3}}\)
4. \(\log x = \frac{1}{4}\\ \Leftrightarrow x =\log 10^{\frac{1}{4}}\\ \Leftrightarrow x =\sqrt[4]{ 10 }\)
5. \(\log x = -2\\ \Leftrightarrow x = 10^{-2} \\ \Leftrightarrow x =0{,}01\)
6. \(\log x = -1\\ \Leftrightarrow x = 10^{-1} \\ \Leftrightarrow x =0{,}1\)
7. \(\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}\)
8. \(\log x = \frac{-4}{1}\\ \Leftrightarrow x =\log 10^{\frac{-4}{1}}\\ \Leftrightarrow x =\frac{1}{10^{4}}\)
9. \(\log x = 5\\ \Leftrightarrow x = 10^{5} \\ \Leftrightarrow x =100000\)
10. \(\log x = 1\\ \Leftrightarrow x = 10^{1} \\ \Leftrightarrow x =10\)
11. \(\log x = \frac{-5}{3}\\ \Leftrightarrow x =\log 10^{\frac{-5}{3}}\\ \Leftrightarrow x =\sqrt[3]{ \frac{1}{10^{5}} }\)
12. \(\log x = \frac{-5}{12}\\ \Leftrightarrow x =\log 10^{\frac{-5}{12}}\\ \Leftrightarrow x =\sqrt[12]{ \frac{1}{10^{5}} }\)