# Rekenen met log10 (reeks 2)

#### Bepaal x

1. $$\log x = \frac{1}{11}$$
2. $$\log x = \frac{12}{11}$$
3. $$\log x = \frac{1}{6}$$
4. $$\log x = \frac{9}{7}$$
5. $$\log x = -6$$
6. $$\log x = 8$$
7. $$\log x = -3$$
8. $$\log x = \frac{8}{9}$$
9. $$\log x = 5$$
10. $$\log x = -2$$
11. $$\log x = -4$$
12. $$\log x = -9$$

#### Bepaal x

##### Verbetersleutel

1. $$\log x = \frac{1}{11}\\ \Leftrightarrow x =\log 10^{\frac{1}{11}}\\ \Leftrightarrow x =\sqrt[11]{ 10 }$$
2. $$\log x = \frac{12}{11}\\ \Leftrightarrow x =\log 10^{\frac{12}{11}}\\ \Leftrightarrow x =\sqrt[11]{ 10^{12} }$$
3. $$\log x = \frac{1}{6}\\ \Leftrightarrow x =\log 10^{\frac{1}{6}}\\ \Leftrightarrow x =\sqrt[6]{ 10 }$$
4. $$\log x = \frac{9}{7}\\ \Leftrightarrow x =\log 10^{\frac{9}{7}}\\ \Leftrightarrow x =\sqrt[7]{ 10^{9} }$$
5. $$\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}$$
6. $$\log x = 8\\ \Leftrightarrow x = 10^{8} \\ \Leftrightarrow x =100000000$$
7. $$\log x = -3\\ \Leftrightarrow x = \log 10^{-3} \\ \Leftrightarrow x = \frac{1}{10^{3}}$$
8. $$\log x = \frac{8}{9}\\ \Leftrightarrow x =\log 10^{\frac{8}{9}}\\ \Leftrightarrow x =\sqrt[9]{ 10^{8} }$$
9. $$\log x = 5\\ \Leftrightarrow x = 10^{5} \\ \Leftrightarrow x =100000$$
10. $$\log x = -2\\ \Leftrightarrow x = 10^{-2} \\ \Leftrightarrow x =0,01$$
11. $$\log x = -4\\ \Leftrightarrow x = \log 10^{-4} \\ \Leftrightarrow x = \frac{1}{10^{4}}$$
12. $$\log x = -9\\ \Leftrightarrow x = \log 10^{-9} \\ \Leftrightarrow x = \frac{1}{10^{9}}$$
Oefeningengenerator vanhoeckes.be/wiskunde 2023-06-07 18:38:30