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1) 6x+2=216=63
=>x+2=3
=>x=1
2)72-(15+x)=5.22
49-15-x=5.4
34-x=20
x=14
3)[(6x-72):2-84].28=5628
(3x-36-84).28=5628
3x-36-84=201
3x-120=201
3x=321
x=107
4)3x-2.4=324
3x-2=81=34
=>x-2=4
x=6
\(6^{x+2}=216\Leftrightarrow6^x=216:6^2=6;x=1\)\(7^2-\left(15+x\right)=5.2^2\Leftrightarrow49-\left(15+x\right)=20\)
\(15+x=49-20=29;x=14\)
[(8x-14):2-2].31=341
=> (8x-14):2-2=341:31
=> (8x-14):2-2=11
=> (8x-14):2=11+2
=> (8x-14):2=13
=> 8x-14=13.2
=> 8x-14=26
=> 8x=26+14
=> 8x=40
=> x=40:8
=> x=5
4x+3=256
=> 4x+3=44
=> x+3=4
=> x=4-3
=> x=1
6+3x+2=87
=> 3x+2=87-6
=> 3x+2=81
=> 3x+2=34
=> x+2=4
=> x=4-2
=> x=2
1300:[120-(x-9)]=25
=> 120-(x-9)=1300:25
=> 120-(x-9)=52
=> x-9=120-52
=> x-9=68
=> x=68+9
=> x=77
Lời giải:
$10.3^x=3^{117}+3^{115}=3^{115}(3^2+1)=10.3^{115}$
$\Rightarrow 3^x=3^{115}$
$\Rightarrow x=115$
<=> (32+1 ).33(x-2) =317+315
<=> (32+1 ).33(x-2) =315.(32+1)
<=> 33(x-2) = 315
<=> 3(x-2) = 15
<=> x-2 = 5
<=> x= 7
2) = 19683 . 3 : 59049 + 32 : 16 . 4 - 9 . 1
= 59049 : 59049 + 2 . 4 - 9
= 1 + 8 - 9
= 9 - 9
= 0
1) = {53^3 - 67 . [(169+144)].5 +7.3^4]} :2011
=[53^3 - 67 . (313 . 5 + 7 . 81 ] :2011
= [53^3 - 67. ( 1565 + 567 )] : 2011
= (53^3 - 67 . 2132) :2011
=(148877 - 142844 ) : 2011
= 6033 : 2011
= 3
Trả lời:
Ta có : 1.22= 1.2.2=1.2.(3-1)=1.2.3-1.2
2.32= 2.3.3=2.3.(4-1)=2.3.4-2.3
.................................................
98.992= 98.99.99=98.99.(100-1)=98.99.100-98.99
A=1.2.3 - 1.2 + 2.3.4 - 2.3 + ... + 98.99.100 - 98.99 hay A=1.2.3 + 2.3.4 +...+ 98.99.100 - (1.2 + 2.3 + ... + 98.99) = B - C
B=1.2.3 + 2.3.4 + ... + 98.99.100
B.4=1.2.3.4 + 2.3.4.(5 - 1) + ... + 98.99.100.(101 - 97)= 98.99.100.101
=> 98.99.100.101:4= 24497550
C=1.2 + 2.3 + ... + 98.99
C.3=1.2.3 + 2.3.(4 - 1) + ... + 98.99.(100 - 97)= 98.99.100
=> 98.99.100:3= 323400
Vậy A= 24497550 - 323400 = 24174150
3x-2-19=62
=> 3x-2=62+19
=> 3x-2=81
=> 3x-2=34
=> x-2=4
=> x=4+2
=> x=6
10.3x=3117+3115
=> 10.3x=3115.(32+1)
=> 10.3x=3115.(9+1)
=> 3x.10=3115.10
=> 3x=3115
=> x=115
2448-(5x+48)=2000
=> 5x+48=2448-2000
=> 5x+48=448
=> 5x=448-48
=> 5x=400
=> x=400:5
=> x=80
1)\(3^{x-2}=62+19=81=3^4\)
=> x- 2 = 4
=> x = 6
2) \(2448-\left(5x+48\right)=2000\)
5x + 48 = 448
5x = 448 - 48
5x = 400
x = 80
3) \(10.3^x=3^{115}\left(3^2+1\right)=3^{115}.10\)
=> x =115