Rekenen met log₁₀ (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

1. \(\log 1\)
2. \(\log 10000\)
3. \(\log \sqrt[4]{ \frac{1}{10^{3}} }\)
4. \(\log \frac{1}{10^{9}}\)
5. \(\log 1000000\)
6. \(\log \frac{1}{10^{2}}\)
7. \(\log \sqrt[11]{ \frac{1}{10^{3}} }\)
8. \(\log \sqrt{ \left(\frac{1}{10}\right)^{5} } \)
9. \(\log 100000\)
10. \(\log 1000000000\)
11. \(\log \sqrt[7]{ 10^{3} }\)
12. \(\log \frac{1}{10^{3}}\)

---

Bereken

Verbetersleutel

1. \(\log 1= \log 10^{0}=0\)
2. \(\log 10000= \log 10^{4}=4\)
3. \(\log \sqrt[4]{ \frac{1}{10^{3}} }=\log 10^{\frac{-3}{4}}=\frac{-3}{4}\)
4. \(\log \frac{1}{10^{9}}= \log 10^{-9}=-9\)
5. \(\log 1000000= \log 10^{6}=6\)
6. \(\log \frac{1}{10^{2}}= \log 10^{-2}=-2\)
7. \(\log \sqrt[11]{ \frac{1}{10^{3}} }=\log 10^{\frac{-3}{11}}=\frac{-3}{11}\)
8. \(\log \sqrt{ \left(\frac{1}{10}\right)^{5} } =\log 10^{\frac{-5}{2}}=\frac{-5}{2}\)
9. \(\log 100000= \log 10^{5}=5\)
10. \(\log 1000000000= \log 10^{9}=9\)
11. \(\log \sqrt[7]{ 10^{3} }=\log 10^{\frac{3}{7}}=\frac{3}{7}\)
12. \(\log \frac{1}{10^{3}}= \log 10^{-3}=-3\)