Rekenen met log₁₀ (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

1. \(\log 10000\)
2. \(\log 100000000\)
3. \(\log \frac{1}{10^{1}}\)
4. \(\log \sqrt[3]{ 10^{2} }\)
5. \(\log 0{,}001\)
6. \(\log 10000000\)
7. \(\log \sqrt[7]{ 10^{2} }\)
8. \(\log 0{,}01\)
9. \(\log 100000\)
10. \(\log 1\)
11. \(\log \sqrt[8]{ \left(\frac{1}{10}\right)^{11} }\)
12. \(\log \frac{1}{10^{7}}\)

---

Bereken

Verbetersleutel

1. \(\log 10000= \log 10^{4}=4\)
2. \(\log 100000000= \log 10^{8}=8\)
3. \(\log \frac{1}{10^{1}}= \log 10^{-1}=-1\)
4. \(\log \sqrt[3]{ 10^{2} }=\log 10^{\frac{2}{3}}=\frac{2}{3}\)
5. \(\log 0{,}001= \log 10^{-3}=-3\)
6. \(\log 10000000= \log 10^{7}=7\)
7. \(\log \sqrt[7]{ 10^{2} }=\log 10^{\frac{2}{7}}=\frac{2}{7}\)
8. \(\log 0{,}01= \log 10^{-2}=-2\)
9. \(\log 100000= \log 10^{5}=5\)
10. \(\log 1= \log 10^{0}=0\)
11. \(\log \sqrt[8]{ \left(\frac{1}{10}\right)^{11} }=\log 10^{\frac{-11}{8}}=\frac{-11}{8}\)
12. \(\log \frac{1}{10^{7}}= \log 10^{-7}=-7\)