:
- , .
- , .
- .
- - ( ).
. . , , , .
!
: 1) a 1 = ( R) 2 ) n = ∙ ∙... a ( R, n N, n 0 ) 3) 0=1 ( 0, R) 4) -n = ( 0, R, n N) 5) = (n N, m Q, >0) | (-1,7)1 = -1,7 (-1,7)3 = (-1,7) (-1,7) (-1,7) = -4,913 (1,7 )0=1, 0 (0,25) -3 = = (-4)3 = 64 = = = = 8 |
: | |
| m1,5 ∙ m-2 = m1,5+(-2)= m-0,5 l,53.1,5 -0,5= 1,52,5 =(0,25)-2 = 42 = 16 (5)2 = 52 = (52) = 25 m1,5: m-2 = m1,5-(-2)= m3,5 l,53 : 1,5 -0,5= 1,53,5 32 52 = (3∙5)2 =152 =34=81 |
n- | |
1) 0, b≥0. = | |
2) 0, b>0. = | = = = =3 |
3) 0, n N, k N, = | -3 = -3 =-2 |
4) 0, n N, k N, = | = |
5) 0, n N, k N, = |
1. : 4∙ + 0,50.
.
. , : 4∙ + 0,50 =4 +1 = 4∙3+1= 13.
. , : 4∙ + 0,50 =4∙ +1= 4∙ + 1 = 4∙3+1= 13
13.
2. .
. , 81 = 273, 24 = 83, = , : = = 3 =3 =
: .
3. .
. = = = = =
:
4. : ()2 .
. = (n N, m Q, >0), () = , = +, :
()2 = = = =
:
5. :
. = = = =
: .
6.
. = = = =3
:3.
, , , , , . , .
|
|
,
, , , , . pa, - .
.
1. = 2 + 5.
. = 2 + 5 , ()2 = (2 + 5)2 5 - 4 =42+ 20+25 42 + 24 + 20 = 0;
2 + 6 + 5 = 0; = -5 = -1.
. = -5: = 2(-5) + 4
= -5
, , -5 .
= - 1: = 2(-1) + 4
= 3
, , -1 .
2. 4 ≥
. = 2-1 4 = 22, 22≥2-1. = 2 , , . 2 > 1. , , , 2 ≥ -1, ≥ -0,5.
: 3.
3. .
.
<1, = , 0.5 - 1 -3. -4. : -4, -3, -2, -1.
:4.
4. lg 0,5( - 2) -2.
. -2 ∙1 1 = lg b, = 0,5.
:
1g0,5( - 2) -2. 1; 1g 0,5( - 2) -2 1g 0,5 0,5;
1g0,5( - 2) 1g 0,5 0,5-2; 1g 0,5( - 2) lg 0,5 4.
0,5 < 1, = 1g 0,5 , , , , 0 < -2 4 ( 0 < - 2 ).
2 < 6. , 4 : 3; 4; 5; 6.
: 4.
5. ln (- 1) < ln (3+ 2).
. . . > 1, = ln , ,
- 1 < 3+2, 2 > -3 >1,5
- 1 > 0 > 1 >1
, (1;+ )
: (1; + )
- ( )
6.
. , : 3 6 = 0, =2. , : ( 6) ( + 6) = 0,
= . :
-6 2 6
:
= 7 > 0; = 5 < 0
|
|
= 0 > 0; = -7 < 0.
- + - +
-6 2 6
(- ;-6) [ 2; 6 ]
: (- ;-6) [ 2; 6 ]
7. 0
. - 2 = 0, = 2
( - 5)(3 -12) = 0, =5 = 4
2 4 5
, . . > 0. , , (. .).
- + - +
2 4 5
(- ;2] (4;5). 1 2. 1 + 2 = 3
: 3.