Rekenen met log₁₀ (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

1. \(\log 1000000000\)
2. \(\log 1\)
3. \(\log \frac{1}{10^{3}}\)
4. \(\log 0{,}1\)
5. \(\log \frac{1}{10^{7}}\)
6. \(\log \sqrt[9]{ \frac{1}{10^{7}} }\)
7. \(\log \frac{1}{10^{2}}\)
8. \(\log \sqrt[5]{ 10^{6} }\)
9. \(\log \frac{1}{10^{5}}\)
10. \(\log \frac{1}{10^{9}}\)
11. \(\log 100000000\)
12. \(\log \sqrt[7]{ 10^{10} }\)

---

Bereken

Verbetersleutel

1. \(\log 1000000000= \log 10^{9}=9\)
2. \(\log 1= \log 10^{0}=0\)
3. \(\log \frac{1}{10^{3}}=\log 10^{\frac{-3}{1}}=\frac{-3}{1}\)
4. \(\log 0{,}1= \log 10^{-1}=-1\)
5. \(\log \frac{1}{10^{7}}= \log 10^{-7}=-7\)
6. \(\log \sqrt[9]{ \frac{1}{10^{7}} }=\log 10^{\frac{-7}{9}}=\frac{-7}{9}\)
7. \(\log \frac{1}{10^{2}}= \log 10^{-2}=-2\)
8. \(\log \sqrt[5]{ 10^{6} }=\log 10^{\frac{6}{5}}=\frac{6}{5}\)
9. \(\log \frac{1}{10^{5}}= \log 10^{-5}=-5\)
10. \(\log \frac{1}{10^{9}}= \log 10^{-9}=-9\)
11. \(\log 100000000= \log 10^{8}=8\)
12. \(\log \sqrt[7]{ 10^{10} }=\log 10^{\frac{10}{7}}=\frac{10}{7}\)