Rekenen met log₁₀ (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

1. \(\log \sqrt[12]{ 10^{11} }\)
2. \(\log \frac{1}{10^{4}}\)
3. \(\log \frac{1}{10^{5}}\)
4. \(\log \sqrt[3]{ \frac{1}{10^{7}} }\)
5. \(\log \sqrt[3]{ \left(\frac{1}{10}\right)^{2} }\)
6. \(\log \frac{1}{10^{6}}\)
7. \(\log \frac{1}{10^{7}}\)
8. \(\log 0,001\)
9. \(\log \sqrt[5]{ \frac{1}{10^{4}} }\)
10. \(\log 100000\)
11. \(\log 1\)
12. \(\log 100\)

---

Bereken

Verbetersleutel

1. \(\log \sqrt[12]{ 10^{11} }=\log 10^{\frac{11}{12}}=\frac{11}{12}\)
2. \(\log \frac{1}{10^{4}}= \log 10^{-4}=-4\)
3. \(\log \frac{1}{10^{5}}= \log 10^{-5}=-5\)
4. \(\log \sqrt[3]{ \frac{1}{10^{7}} }=\log 10^{\frac{-7}{3}}=\frac{-7}{3}\)
5. \(\log \sqrt[3]{ \left(\frac{1}{10}\right)^{2} }=\log 10^{\frac{-2}{3}}=\frac{-2}{3}\)
6. \(\log \frac{1}{10^{6}}= \log 10^{-6}=-6\)
7. \(\log \frac{1}{10^{7}}= \log 10^{-7}=-7\)
8. \(\log 0,001= \log 10^{-3}=-3\)
9. \(\log \sqrt[5]{ \frac{1}{10^{4}} }=\log 10^{\frac{-4}{5}}=\frac{-4}{5}\)
10. \(\log 100000= \log 10^{5}=5\)
11. \(\log 1= \log 10^{0}=0\)
12. \(\log 100= \log 10^{2}=2\)