Logarithmen Aufgabenblatt 2 A 1. (a) loga a4 (b) loga a (c) loga (d ...

Logarithmen
1. (a) log a a 4 (d) log a a −3 4
(b) log a a (e) log a 1
1
(c) log a (f) log
a 2 a (a 2 ) 3
Aufgabenblatt 2A
√
(g) log a a
(h) log √ 3
a a 5
(i) log a a √ a
2. Berechne x
(a) log x 27 = 3
(b) log x 512 = −9
3. Berechne x
(c) log x 10 6 = 3
(d) log x 4 = − 1 2
(e) log x 4 = 4
(f) log x 3 = 0
(a) log 5 x = 3
(b) log 4 x = 1
(c) log √ 3 x = 6
(d) log 49 x = − 1 2
(e) log 4 x = 1.5
(f) log 3 x = 0
(
4. (a) log 10 log10 10 100) (
(b) log 3 log2 8 ) (
(c) log 6 log5 5 )
5. (a) 2 log 2 32 (b) 3 log 3 7 (c) 4 log 2 5
Logarithmen
1
1. (a) log b b (d) log b b 4
(c) log b b 3 (f) log b 1
1
(b) log b b
(e) log b b −1.5
Aufgabenblatt 2B
(g) log b 0
(h) log b b 2√ b
(i) log √ 4
b b 3
2. Berechne x
(a) log x 32 = 5
(b) log x 10000 = 2
3. Berechne x
(c) log x 2 12 = 4
(d) log x 8 = −3
(e) log x 1 = 0
(f) log x 7 = 3
(a) log 2 x = 7 (c) log 8 x = 2 (e) log
3
7 x = −3
(b) log 3 x = 0 (d) log 4 x = − 1 (f) log
2
3 x = 1 4
(
4. (a) log 3 log2 512 ) (
(b) log 10 log10 10 100000) ( √ )
(c) log 6 log8 2
5. (a) 3 log 3 27 (b) 3 log 3 2 (c) 3 log 9 16

Logarithmen Lösungen Aufgabenblatt 2A
1. (a) log a a 4 = 4
(b) log a a = 1
(c) log a
1
a 2 = −2
2. (a) x = 3
(b) x = 1 2
3. (a) x = 125
(b) x = 4
(d) log a a −3 4 = − 3 4
(e) log a 1 = 0
(f) log a (a 2 ) 3 = 6
(c) x = 100
(d) x = 1
16
(c) x = 27
(d) x = 1 7
(g) log a
√ a =
1
2
(h) log a
3 √ a 5 = 5 3
(i) log a a √ a = 3 2
(e) x = √ 2
(f) keine Lösung
(e) x = 8
(f) x = 1
4. (a) log 10 100 = 2 (b) log 3 3 = 1 (c) log 6 1 = 0
5. (a) 2 log 2 32 = 32 (b) 3 log 3 7 = 7 (c) 4 log 2 5 = 25
Logarithmen Lösungen Aufgabenblatt 2B
1. (a) log b b = 1
(b) log b
1
b = −1
(c) log b b 3 = 3
2. (a) x = 2
(b) x = 100
3. (a) x = 128
(b) x = 1
(d) log b
1
b 4 = −4
(e) log b b −1.5 = −1.5
(f) log b 1 = 0
(c) x = 8
(d) x = 1 2
(c) x = 4
(d) x = 1 2
(g) nicht definiert
(h) log b b 2√ b = 5 2
(i) log b
4 √ b 3 = 3 4
(e) alle x ≠ 0
(f) x = 3√ 7
(e) x = 1
343
(f) x = 4√ 3
4. (a) log 3 9 = 2 (b) log 10 100000 = 5 (c) log 6
1
6 = −1
5. (a) 3 log 3 27 = 27 (b) 3 log 3 2 = 2 (c) 3 log 9 16 = 4