Risolvere le seguenti disequazioni
; 3 1 1 2
x
x ln x ( 1 ln x ) 0 ; 2 x 4 3
; 4 1
1
2
x
x 0 ;
) 1 ln(
) 2
ln(
x
x 3 x 2 1
3 0
6
2 5
x x
x log 3 ( 4 x 3 ) 2 2 x 5 6
3 1 2
x
x x
x
x
1
4
2 2 e x
2 4 1
; 2 0 3 1
2
x
x < 1
3 1 + x
2 ln( x 2 + 3 ) < 0
; 3 0
4
2
x
x 1
2 1
x ; log( x 2 1 ) 2
2 1 1
3 x x 2 3 x x 1 ln( x 1 ) ln( 2 x ) 0
12 0 2
2 2
x x
x
x
3 ) 2 ( 1 2
x
x e
x 4 1
7 4
3 x 2 x 4
3 6
2 x ; e
x 2 1
) 9 ( 3
2 x 2 x 3 5
1
2 x ; 2 e 3 x 4
; 2 3
5
4 x ln( x 3 ) 2 ; 5 x x 3 2 4
2 0 8
5
2 6
x x
x e 3 x 2 5 x 2 x 2 2
8 1
x
x 7 x 1 2 1 1 log 2 1
x x
; 3 4
1
x
x e 2
x2 8 1 ; x 2 1
2 4 1 3
x
x | 5 x 3 | 1 2
xx 1 1 1
e e
6 0 3 1
x
x log 3 ( 3 x ) 2 3
2 1 x x
6
2 2
x
2 1 1 2 3
x
x x x
e
2e 4 1 5
0 1 3
5 4
2
x
x 1
2 4
3
x
x log( 3 x 1 ) e 3
2 1 1 1
x
x 0
2
2 1
x x
e
e 1 ln x 1
3 1
1
x
x 0
7 log 10 5
x
x log 10 ( x 2 x 98 ) 2
10 0 3
6 5
2
2
x x
x
x x 2 x 8 10 3 2
5 1
x
x
3 ) 2 4 (
log 2 x x x
x 2
1
0
3
2 ) 3 2
ln( x
2
2 2
x 1
5 3
x
x 0
) 4 ln(
1
1
x
2 2
2 x 3
x ln(ln( x 2 1 )) 0 0
4 3
6
2
2
x x
x
x
3 2
2
x
x
x
3 2 2
1 4
1
2
x x
x 1
1 2
2 1
x
x
5 0 3 2
log 1
2 5 1
x x
x
x x x x
x 1
2 3
2 6
1
3
1 2
4 3
2
x
x
2 1
3 2 3
2
xx x