9Aufgaben

Diese Aufgaben sind alle ohne Taschenrechner lösbar.

Aufgabe 1

Fasse zu einem Logarithmus zusammen und werte aus. Alle Ergebnisse sind ganzzahlig.

1. ${\log }_3(6)-{\log }_3(2)\backslash log\_3(6)-\backslash log\_3(2)$

2. ${\log }_6(4)+{\log }_6(9)\backslash log\_6(4)+\backslash log\_6(9)$

3. ${\log }_5(30)-{\log }_5(12)+{\log }_5(2)\backslash log\_5(30)-\backslash log\_5(12)+\backslash log\_5(2)$

4. ${\log }_2(6)-{\log }_2(24)\backslash log\_2(6)-\backslash log\_2(24)$

5. ${\log }_5(10)+{\log }_5(20)+{\log }_5(2)-{\log }_5(16)\backslash log\_5(10)+\backslash log\_5(20)+\backslash log\_5(2)-\backslash log\_5(16)$

Aufgabe 2

Fasse zu einem Logarithmus zusammen

1. ${\displaystyle \frac{3}{2}{\log }_8(4)}\backslash displaystyle\backslash frac\{3\}\{2\}\backslash log\_8(4)$

2. $2{\log }_7(3)2\backslash log\_7(3)$

3. ${\displaystyle \frac{1}{2}{\log }_7(25)}\backslash displaystyle\backslash frac\{1\}\{2\}\backslash log\_7(25)$

4. $-2{\log }_{1\mathrm{/}2}(4)-2\backslash log\_\{1/2\}(4)$

Aufgabe 3

1. ${\log }_3(36)-2\cdot {\log }_3(2)\backslash log\_3(36)-2\backslash cdot\backslash log\_3(2)$

2. $16\cdot {\log }_4(2)16\backslash cdot\backslash log\_4(2)$