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3.4^x-2+4^x-1+4^x=92
12^x-2+4^x-1+4^x=92
4(3^x-2+1^x-1+1^x)=92
4(3^x-2+2)=92
3^x-2+2=23
3^x-2=21
3^x-2=3.7
=>x-2=1
x=3
a) 100-(x+21) = 25 b) 55-3x = 59 : 57 c) 43 - 2.(x-21) = 62
x+21 = 100-25 55-3x = 52 64 - 2.(x-21) = 36
x+21 = 75 55-3x = 25 2.(x-21) = 64-36
x = 75-21 3x = 55-25 2.(x-21) = 28
x = 54 3x = 30 x-21 = 28 : 2
x = 30 : 3 x-21 = 14
x = 10 x = 14+21
x = 35
Câu d chưa nghĩ ra,hì hì!
a) 100-(X+21)=25
x+21=25+100
x+21=125
x=125-21
x=104
b) 55-3x=5^9:5^7
55-3x=5^2
55-3x=25
3x=55-25
3x=30
x=30:3
x=10
c) 4^3-2.(x-21)=6^2
4^3-2.(x-21)=36
64-2.(x-21)=36
2.(x-21)=64-36
2.(x-21)=28
x-21=28:2
x-21=14
x=14+21
x=35
Xin lỗi bn mk chỉ giải đc vậy thôi xin thông cảm nha
Đặt A= 1.2+2.3 +.......+99.100
3A= 1.2.3+2.3.4+3.4.3 +......+ 99.100.3
3A= 1.2. (3 - 0) + 2.3.(4 - 1) +3.4. (5 - 2)....... . 99.100. (101 - 98)
3A = (1.2.3 + 2.3.4 + 3.4.5 +...... + 99.100.101) - (0.1.2 + 1.2.3 + 2.3.4 +.......+ 98.99.100)
3A = 99.100.101 - 0.1.2
3A = 999900 - 0
3A= 999900
A= 999900 : 3
A = 333300
a. \(4^{x+5}=32^{40}\)
\(\left(2^2\right)^{x+5}=\left(2^5\right)^{40}\)
\(2^{2x+10}=2^{200}\)
\(2x+10=200\)
2x = 190
x = 95.
b. \(3^{6-3x}=81^3\)
\(3^{6-3x}=\left(3^4\right)^3\)
6 - 3x = 12
3x = 6 - 12
3x = -6
x = -2
c. \(4^{x+3}-3.4^{x+7}=13.4^{11}\)
\(4^{x+3}.1-3.4^{x+3}.4^4=13.4^{11}\)
\(4^{x+3}\left(1-3.4^4\right)=13.4^{11}\)
Bài này sai đề rồi em.
d. \(5.3^{x+6}=2.3^5+3.3^5\)
\(5.3^{x+6}=3^5\left(2+3\right)\)
\(5.3^{x+6}=3^5.5\)
\(3^{x+6}=3^5\)
x + 6 = 5
x = 5 - 6
x = -1.
a) \(4^{x+5}=32^{40}\)
\(\Rightarrow\left(2^2\right)^{x+5}=\left(2^5\right)^{40}\)
\(\Rightarrow2^{2x+10}=2^{200}\)
\(\Rightarrow2x+10=200\)
\(\Rightarrow2x=200-10=190\)
\(\Rightarrow x=190:2=95\)
b) \(3^{6-3x}=81^3\)
\(\Rightarrow3^{6-3x}=\left(3^4\right)^3\)
\(\Rightarrow3^{6-3x}=3^{12}\)
\(\Rightarrow6-3x=12\)
\(\Rightarrow3x=6-12=-6\)
\(\Rightarrow x=\left(-6\right):3=-2\)
c) \(4^{x+3}-3.4^{x+7}=13.4^{11}\)
Sai đề nha
d) \(5.3^{x+6}=2.3^5+3.3^5\)
\(\Rightarrow5.3^{x+6}=\left(2+3\right).3^5\)
\(\Rightarrow5.3^{x+6}=5.3^5\)
\(\Rightarrow x+6=5\)
\(\Rightarrow x=5-6=-1\)
Chúc em học tốt nhé!
Bài 1:
a) Ta có: \(\frac{2^8\cdot4\cdot13+2^7\cdot8\cdot65}{2^9\cdot39}\)
\(=\frac{2^8\cdot4\cdot13+2^8\cdot4\cdot13\cdot5}{2^9\cdot39}\)
\(=\frac{2^{10}\cdot13\left(1+5\right)}{2^9\cdot13\cdot3}=\frac{6}{3}=2\)
b) Đặt \(A=4+2^2+2^3+2^4+...+2^{20}\)
Ta có: \(A=4+2^2+2^3+2^4+...+2^{20}\)
\(\Rightarrow2A=2^3+2^3+2^4+...+2^{21}\)
Ta có: \(2A-A=2^3+2^{21}-2^2-2^2=8+2^{21}-8=2^{21}\)
hay \(A=2^{21}\)
Vậy: \(4+2^2+2^3+2^4+...+2^{20}=2^{21}\)
3.4x-2+4x-1+4x=92
4x(3+1+1)-2-1=92
4x.5-2-1 =92
4x.5 =92+1+2
4x.5 =95
4x =95:5
4x =19