Rekenen met log₁₀ (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

1. \(\log \frac{1}{10^{9}}\)
2. \(\log 10000000\)
3. \(\log 10^{2}\)
4. \(\log \frac{1}{10^{1}}\)
5. \(\log 100000\)
6. \(\log \frac{1}{10^{3}}\)
7. \(\log \sqrt[3]{ \frac{1}{10^{7}} }\)
8. \(\log \frac{1}{10^{2}}\)
9. \(\log 1000000000\)
10. \(\log 1000000\)
11. \(\log \sqrt{ \frac{1}{10^{7}} } \)
12. \(\log \sqrt[11]{ 10^{2} }\)

---

Bereken

Verbetersleutel

1. \(\log \frac{1}{10^{9}}= \log 10^{-9}=-9\)
2. \(\log 10000000= \log 10^{7}=7\)
3. \(\log 10^{2}=\log 10^{\frac{2}{1}}=\frac{2}{1}\)
4. \(\log \frac{1}{10^{1}}= \log 10^{-1}=-1\)
5. \(\log 100000= \log 10^{5}=5\)
6. \(\log \frac{1}{10^{3}}= \log 10^{-3}=-3\)
7. \(\log \sqrt[3]{ \frac{1}{10^{7}} }=\log 10^{\frac{-7}{3}}=\frac{-7}{3}\)
8. \(\log \frac{1}{10^{2}}= \log 10^{-2}=-2\)
9. \(\log 1000000000= \log 10^{9}=9\)
10. \(\log 1000000= \log 10^{6}=6\)
11. \(\log \sqrt{ \frac{1}{10^{7}} } =\log 10^{\frac{-7}{2}}=\frac{-7}{2}\)
12. \(\log \sqrt[11]{ 10^{2} }=\log 10^{\frac{2}{11}}=\frac{2}{11}\)