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a, \(\left(2x+7\right)^4=10^{11}:10^7\)
\(\Rightarrow\left(2x+7\right)^4=10^4\)
\(\Rightarrow2x+7=10\)
\(\Rightarrow2x=10-7\)
\(\Rightarrow2x=3\)
\(\Rightarrow x=\dfrac{3}{2}\) hay \(x=1,5\)
b, \(5^{x-1}.7^{x-1}=25.49\)
\(\Rightarrow\)\(5^{x-1}.7^{x-1}=5^2.7^2\)
\(\Rightarrow\left\{{}\begin{matrix}5^{x-1}=5^2\\7^{x-1}=7^2\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x-1=2\\x-1=2\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x=3\\x=3\end{matrix}\right.\)
c, \(\left(x-5\right)^{2018}=9.\left(x-5\right)^{2016}\)
\(\Rightarrow\dfrac{\left(x-5\right)^{2018}}{\left(x-5\right)^{2016}}=9.\dfrac{\left(x-5\right)^{2016}}{\left(x-5\right)^{2016}}\)
\(\Rightarrow\left(x-5\right)^2=9\)
\(\Leftrightarrow\left(x-5\right)^2=3^2\)
\(\Rightarrow x-5=3\)
\(\Rightarrow x=3+5\)
\(\Rightarrow x=8\)
a,71.2-6.(2x+5)=10^5:10^3
142-6.(2x+5)=10^2
142-6.(2x+5)=100
6.(2x+5)=142-100
6.(2x+5)=42
2x+5=42:6
2x+5=7
2x=7-5
2x=2
x=1
Vậy x=1
a)3x-1=100+10 b)5^(2x-3)-50=75 c)(3x-16).7^5=2.7^6 d)(x-1)^5+3^2.5=72
3x=111 5^2x-3=75+50 3x-16=7^6:7^5.2 (x-1)^2=72-9.5
x=111:3 5^2x-3=125=5^3 3x-16=14 (x-1)^2=27
x=37 =>2x-3=3 3x=16+14 làm thành 2 trường hợp
2x=6 3x=30 .. .....
x=3 x=10
a) 25 : 23
C1: 25 : 23
= 32 : 8
= 4
C2: 25 : 23
= 25 - 3
= 22 = 4
b) 35 : 32
C1: 35 : 32
= 243 : 9
= 27
C2: 35 : 32
= 35 - 2
= 33 = 27
CÂU 1
\(5^{n+1}+5^n=750\)
\(=>5^n\cdot5+5^n=750\)
\(=>5^n\cdot\left(5+1\right)=750\)
\(=>5^n\cdot6=750\)
\(=>5^n=750:6\)
\(=>5^n=125\)
\(=>5^n=5^3\)
\(=>n=3\)
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
\(=10-\left[\left(91-48\right).5+\left(8.10+8\right)\right]:28\)
\(=10-\left[43.5+88\right]:28\)
\(=10-\left[215+88\right]:28\)
\(=10-303:28\)
\(=10-10,821\)
\(=0,179\)
Ko chắc
\(a.\left(5+2\right).x=36-1\)
\(7.x=35\)
\(x=5\)
\(b.\left(5+1\right).x=75+3\)
\(6.x=78\)
\(x=13\)
\(c.\left(6+1\right).x=5^2+3\)
\(7.x=25+3\)
\(7.x=28\)
\(x=4\)
\(d.\left(7-1\right).x=5^2+3.4-1\)
\(6.x=25+12-1\)
\(6.x=36\)
\(x=6\)
2. tìm số tự nhiên x , biết
A. 3x - 14 = 25 : 23
3x - 14 = 25-3
3x-14 = 22
3x - 14 = 4
3x = 4 + 14
3x = 18
x = 18: 3
x = 6
B. 150 - 2 . ( x + 2 ) = 4 . 22
150 - 2 ( x + 2 ) = 22 . 22
150 - 2 (x + 2) = 22+2
150 - 2 (x+2 ) = 24
150-2 (x+2 ) = 16
2 ( x+2 ) = 150 - 16
2 (x+2) = 134
x+2 = 134 : 2
x +2 =67
x = 65
4. so sánh 5 200 và 2 500
\(2^{500}=\left(2^5\right)^{100}=23^{100}\)
\(5^{200}=\left(5^2\right)^{100}=25^{100}\)
Vì \(23< 25\) nên:
\(\Rightarrow23^{100}< 25^{100}\)
Vậy : \(5^{200}>2^{500}\)
1.c
2.a
3.b
4.b
chúc bạn 1 năm học vv
C
A
B
B