# Rekenen met log10 (reeks 1)

#### Bereken

1. $$\log \frac{1}{10^{6}}$$
2. $$\log \sqrt[7]{ 10^{2} }$$
3. $$\log \frac{1}{10^{8}}$$
4. $$\log \frac{1}{10^{3}}$$
5. $$\log \frac{1}{10^{1}}$$
6. $$\log \sqrt[11]{ \frac{1}{10^{8}} }$$
7. $$\log 0,01$$
8. $$\log 1000000000$$
9. $$\log \sqrt[12]{ 10^{7} }$$
10. $$\log 1000$$
11. $$\log \sqrt[5]{ \left(\frac{1}{10}\right) }$$
12. $$\log \sqrt[4]{ \left(\frac{1}{10}\right)^{3} }$$

#### Bereken

##### Verbetersleutel

1. $$\log \frac{1}{10^{6}}= \log 10^{-6}=-6$$
2. $$\log \sqrt[7]{ 10^{2} }=\log 10^{\frac{2}{7}}=\frac{2}{7}$$
3. $$\log \frac{1}{10^{8}}= \log 10^{-8}=-8$$
4. $$\log \frac{1}{10^{3}}= \log 10^{-3}=-3$$
5. $$\log \frac{1}{10^{1}}= \log 10^{-1}=-1$$
6. $$\log \sqrt[11]{ \frac{1}{10^{8}} }=\log 10^{\frac{-8}{11}}=\frac{-8}{11}$$
7. $$\log 0,01= \log 10^{-2}=-2$$
8. $$\log 1000000000= \log 10^{9}=9$$
9. $$\log \sqrt[12]{ 10^{7} }=\log 10^{\frac{7}{12}}=\frac{7}{12}$$
10. $$\log 1000= \log 10^{3}=3$$
11. $$\log \sqrt[5]{ \left(\frac{1}{10}\right) }=\log 10^{\frac{-1}{5}}=\frac{-1}{5}$$
12. $$\log \sqrt[4]{ \left(\frac{1}{10}\right)^{3} }=\log 10^{\frac{-3}{4}}=\frac{-3}{4}$$
Oefeningengenerator vanhoeckes.be/wiskunde 2022-06-27 07:43:34