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(3.x-2).84=84.8.3+84.8.5
(3.x-2).84=84.24+84.40
(3.x-2).84=84.(24+40)
=>3.x-2=64
3.x=66
x=22
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a) 52 . x = 62 + 82
\(5^2\cdot x=36+64\)
\(5^2\cdot x=100\)
\(x=100\div5^2\)
\(x=100\div25\)
\(x=4\)
b) ( 22 + 42 ) . x + 24 . 5 . x = 102
\(\left(4+16\right)\cdot x+16\cdot5\cdot x=100\)
\(x\cdot\left(20+80\right)=100\)
\(x\cdot100=100\)
\(x=100\div100\)
\(x=1\)
c ) 24 . x = 26
\(x=2^6\div2^4\)
\(x=2^{6-4}\)
\(x=2^2\)
\(x=4\)
d) 33 . x + 23 . x = 102
\(x\cdot\left(23+27\right)=100\)
\(x\cdot50=100\)
\(x=100\div50\)
\(x=2\)
e) 78 . x = 710
\(x=7^{10}\div7^8\)
\(x=7^{10-8}\)
\(x=7^2\)
\(x=49\)
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8x : 2x = 4
<=> (8 : 2)x = 4
<=> 4x = 4
<=> x = 1
S = 22 + 42 + 62 + ... + 202
S = (22 + 42 + 62 + ... + 202)
S =22.(12 + 22 + 32 + ... + 102 )
S = 4. 385 = 1540
/Tìm X biết
\(8^x:2^x=4\)
\(\Leftrightarrow\left(8:2\right)^x=4\)
\(\Rightarrow4^x=4^1\)
\(\Rightarrow x=1\)
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a) 52.x = 62 + 82
=> 25 .x = 36 + 64
=> 25.x = 100
=> x = 100 : 25
=> x = 4
b) (22 + 42).x + 24 . 5x = 100
=> (4 + 16).x + 16.5x = 100
=> 20x + 80x = 100
=> 100x = 100
=> x = 100 : 100 = 1
c) 24 : x = 26
=> x = 24 : 26
=> x = 2-2 = 1/4
d) 33x + 23x = 102
=> 27x + 8x = 100
=> 35x = 100
=> x = 100 : 35
=> x = 20/7
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\(5^x+5^{x+2}=650;5^x.26=650;5^x=25;x=2\)
\(2^x+2^{x+3}=144;2^x.9=144;2^x=16;x=4\)
\(3^{x-1}+5.3^{x-1}=162;3^{x-1}.6=162;3^{x-1}=27;x=4\)
\(\left(x-5\right)^4=\left(x-5\right)^6\)
\(\rightarrow x-5=0\&x-5=1\) hoặc x - 5 = - 1
\(x-5=1;x=6;x-5=0;x=5;x-5=-1;x=4\)
\(\left(2^2:4\right).2^n=4;2^n=2^2;n=2\)
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\(35-3^{x+1}=8\)
\(\Rightarrow3^{x+1}=35-8=27\)
Mà \(27=3^3\)
\(\Rightarrow x+1=3\Rightarrow x=3-1=2\)
Vậy \(x=2\)
\(a.35-3^{x+1}=8\)
\(3^x.3^1=35-8\)
\(3^x.3^1=27\)
\(3^x.3^1=3^3\)
\(3^x=3^3:3^1\)
\(3^x=3^{3-1}\)
\(3^x=3^2\)
\(\Rightarrow x=2\)
\(b.3.2^{x-1}+5=29\)
\(3.2^x:2^1=29-5\)
\(3.2^x:2^1=24\)
\(2^x:2^1=24:3\)
\(2^x:2^1=8\)
\(2^x:2^1=2^3\)
\(2^x=2^3.2^1\)
\(2^x=2^{3+1}\)
\(2^x=2^4\)
\(\Rightarrow x=4\)
\(c.9:3^x+15=18\)
\(3^2:3^x+15=18-15\)
\(3^2:3^x=3\)
\(3^x=3^2:3\)
\(3^x=3^{2-1}\)
\(3^x=3^1\)
\(\Rightarrow x=1\)
Chúc bạn học tốt!
2x=8
2x=23
=> x=3
vậy x=3
x=3 vì 2.2.2=8