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bài cuối đây:
(x+1)+(x+2)+(x+3)+...+(x+100)=5750
[(x+100)+(x+1)].100 /2 =5750
(2x+101).100 /2 =5750
(2x+101).50=5750
2x+101=115
2x=14
x=7
k,(x + 1) + (x + 2) + (x + 3) + .... + (x + 100) = 5750
=> 100x + (1 + 2 + 3 + ... + 100) = 5750
=> 100x + 5050 = 5750
=> 100x = 5750 - 5050
=> 100x = 700
=> x = 700 : 100
=> x = 7
i,92.4 - 27 = (x + 350) : x + 315
=> 1 + 350 : x + 315 = 341
=> 350 : x = 341 - 316 = 25
-> x = 350: 25 = 14
a) \(5.\left(x-3\right)=15\)
\(x-3=15:5\)
\(x-3=3\)
\(x=6\)
b)\(10+2.x=4^5:4^3\)
\(10+2.x=16\)
\(2x=16-10\)
\(2x=6\)
\(x=3\)
c) \(5^{x+1}=125\)
\(5^{x+1}=5^3\)
\(x+1=3\)
\(x=2\)
d) \(5^{2x-3}-2.5^2=5^2.3\)
\(5^{2x-3}=2.5^2+5^2.3\)
\(5^{2x-3}=125\)
\(5^{2x-3}=5^2\)
\(2x-3=2\)
\(2x=6\)
\(x=3\)
Mk nhanh nek bn
A, (2367-x) - (210- 7) = 152 - 20
(2367-x) - (1024- 7) = 255 - 20
(2367-x) - 1017 = 205
2367-x=205+1017
2367-x=1222
x=2367-1222
x=1145
B, 8.6+288: (x-3)2 = 50
48+288:(x-3)2 = 50
288: (x-3)2 = 50-48
288: (x-3)2 = 2
(x-3)2 =288:2
(x-3)2 =144
(x-3)2 =122
x-3=12
x=12+3
x=15
D, 10+2x=45: 43
10+2x=45-3
10+2x=42
10+2x=16
2x=16-10
2x=6
x=6:2
x=3
Ta có \(5^x=125\)
\(\Rightarrow5^x=5^3\Rightarrow x=3\)
Vậy x = 3
b,\(3^{2x}=81\)
\(\Rightarrow3^{2x}=3^4\Rightarrow2x=4\Rightarrow x=2\)
Vậy x = 2
c,\(5^{2x-3}-2.5^2=5^2.3\)
\(\Rightarrow5^{2x-3}=5^2.3+5^2.2\Rightarrow5^{2x-3}=5^2.\left(2+3\right)\Rightarrow5^{2x-3}=5^3\)
\(\Rightarrow2x-3=3\Rightarrow2x=6\Rightarrow x=3\)
Vậy x = 3
a, 52x - 3 - 2.52 = 52.3
=> 52x - 3 - 50 = 75
=> 52x - 3 = 125
=> 52x - 3 = 53
=> 2x - 3 = 3
=> 2x = 0
=> x = 0
vậy_
b, (x + 1) + (x + 2) + ....+ (x + 100) = 5750
=> x + 1 + x + 2 + ... + x + 100 = 5750
=> (x + x + x + ... + x) + (1 + 2 + 3 + ... + 100) = 5750
=> 100x + 5050 = 5750
=> 100x = 700
=> x = 7
vậy_