Gi¸o Viªn NguyÔn V¨n Quý Trêng THPT TÜnh Gia 3
Ph¬ng tr×nh Logarit
Gi¸o Viªn NguyÔn V¨n Quý Trêng THPT TÜnh Gia 3
3
6
2
2 6 4
2 2 2
1
2
2 2 4 2 4 2
(9 6) (4.3 6)
2 2
log
5 7
log log log
( 1) 1,5
(3 1) (3 3)
3 3
(8 9)
3
( 1) ( 1) ( 1) ( 1)
2 2 2 2
32
1. 1 log log
2. 36 0
3.4 2.3
4.log lg
5.log log 2
6.log 2
7.log log log log
1
8.3 l
log
x x
x
x x
x x
x
x
x x
x x x x x x x x
x
x x
x
+
− −
+
+ +
− + +
+ + − + + + − +
+ =
− =
− =
=
=
=
+ = +
+ =
2
2
89 25
( )
2 2
5 12
( )
4
12 8
2
2 ( 1) ( 1) 2 4 16
4 4 ( 1) ( 1)
2
4
1
( )
(4 15.2 27)
4.2 3
2 2
(3.2 1)
2
lg10 lg lg(100 )
og
9. log log 2
11.( 4) log 2log ( 4) log 2log
7
12.log log 0
6
13.log 2log
14.log 2 1
15.4 6 2.3
16
x x
x
x
x
x
x
x
x
x
x x
x x
x
x
x x x
x x
x
−
−
−
− −
− −
+ +
−
−
=
− − = − −
− + =
=
= +
− =
8
4 2 2
2 2 2 4 2
3
2
( 3) ( 1) (4 )
4 2
2
3 3 3
3 9
(3 1) ( 1)
2 2
2
( 3)
(3 3 1) (3 1)
5 4
( 1)
1 ( 1) ( 1)
2 16 2 4
log
1 1
. log log log
2 4
17.2log log 3log 0
1
18.log 2 log
log
19.log log
3
20.log log log log
2
21.(2 2) (2
x x
x
x x x
x x x
x x
x
x x
x x x x x x
x
+ −
− +
+
+ + +
+ +
+ + − + − +
+ =
+ + =
+ = +
=
+ = +
+ + −
2
1
log 2
( 1) (6 5)
7
(5 1)
6
2( 1) ( 1)
3 3
3 (3 3) (11.3 9)
5 5 5
2) 1
22.7 6log 1
23.6 3log 2 1
24.( 2) log ( 4)log 16 0
25.( 1) log log log
x
x x
x x
x x
x x
x
x
x x
x
+
− −
+
+ +
+ −
= +
= +
= + +
+ + − − =
− + =