Bereken
- \(\log 100\)
- \(\log \frac{1}{10^{2}}\)
- \(\log \frac{1}{10^{6}}\)
- \(\log 10000000\)
- \(\log \sqrt[5]{ 10^{4} }\)
- \(\log \frac{1}{10^{4}}\)
- \(\log \frac{1}{10^{9}}\)
- \(\log \frac{1}{10^{5}}\)
- \(\log \sqrt[6]{ \left(\frac{1}{10}\right)^{7} }\)
- \(\log \sqrt[7]{ \frac{1}{10^{9}} }\)
- \(\log 1000000000\)
- \(\log \sqrt[6]{ 10^{7} }\)
Bereken
Verbetersleutel
- \(\log 100= \log 10^{2}=2\)
- \(\log \frac{1}{10^{2}}= \log 10^{-2}=-2\)
- \(\log \frac{1}{10^{6}}= \log 10^{-6}=-6\)
- \(\log 10000000= \log 10^{7}=7\)
- \(\log \sqrt[5]{ 10^{4} }=\log 10^{\frac{4}{5}}=\frac{4}{5}\)
- \(\log \frac{1}{10^{4}}= \log 10^{-4}=-4\)
- \(\log \frac{1}{10^{9}}= \log 10^{-9}=-9\)
- \(\log \frac{1}{10^{5}}= \log 10^{-5}=-5\)
- \(\log \sqrt[6]{ \left(\frac{1}{10}\right)^{7} }=\log 10^{\frac{-7}{6}}=\frac{-7}{6}\)
- \(\log \sqrt[7]{ \frac{1}{10^{9}} }=\log 10^{\frac{-9}{7}}=\frac{-9}{7}\)
- \(\log 1000000000= \log 10^{9}=9\)
- \(\log \sqrt[6]{ 10^{7} }=\log 10^{\frac{7}{6}}=\frac{7}{6}\)