Rekenen met log10 (reeks 2)

Bepaal x

1. $$\log x = \frac{-12}{11}$$
2. $$\log x = 2$$
3. $$\log x = -6$$
4. $$\log x = 0$$
5. $$\log x = 9$$
6. $$\log x = \frac{3}{2}$$
7. $$\log x = 4$$
8. $$\log x = \frac{-7}{3}$$
9. $$\log x = -4$$
10. $$\log x = \frac{-8}{7}$$
11. $$\log x = 8$$
12. $$\log x = -7$$

Bepaal x

Verbetersleutel

1. $$\log x = \frac{-12}{11}\\ \Leftrightarrow x =\log 10^{\frac{-12}{11}}\\ \Leftrightarrow x =\sqrt[11]{ \frac{1}{10^{12}} }$$
2. $$\log x = 2\\ \Leftrightarrow x = 10^{2} \\ \Leftrightarrow x =100$$
3. $$\log x = -6\\ \Leftrightarrow x = \log 10^{-6} \\ \Leftrightarrow x = \frac{1}{10^{6}}$$
4. $$\log x = 0\\ \Leftrightarrow x = 10^{0} \\ \Leftrightarrow x =1$$
5. $$\log x = 9\\ \Leftrightarrow x = 10^{9} \\ \Leftrightarrow x =1000000000$$
6. $$\log x = \frac{3}{2}\\ \Leftrightarrow x =\log 10^{\frac{3}{2}}\\ \Leftrightarrow x = \sqrt{ 10^{3} }$$
7. $$\log x = 4\\ \Leftrightarrow x = 10^{4} \\ \Leftrightarrow x =10000$$
8. $$\log x = \frac{-7}{3}\\ \Leftrightarrow x =\log 10^{\frac{-7}{3}}\\ \Leftrightarrow x =\sqrt[3]{ \frac{1}{10^{7}} }$$
9. $$\log x = -4\\ \Leftrightarrow x = \log 10^{-4} \\ \Leftrightarrow x = \frac{1}{10^{4}}$$
10. $$\log x = \frac{-8}{7}\\ \Leftrightarrow x =\log 10^{\frac{-8}{7}}\\ \Leftrightarrow x =\sqrt[7]{ \frac{1}{10^{8}} }$$
11. $$\log x = 8\\ \Leftrightarrow x = 10^{8} \\ \Leftrightarrow x =100000000$$
12. $$\log x = -7\\ \Leftrightarrow x = \log 10^{-7} \\ \Leftrightarrow x = \frac{1}{10^{7}}$$
Oefeningengenerator vanhoeckes.be/wiskunde 2022-06-27 08:16:08