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2x + 2x+3 = 576
2x + 2x.23 = 576
2x(1 + 23) = 576
2x.9 = 576
2x = 576 : 9
2x = 64
2x = 26
=>x = 6
5.2x+1 = 80
2x+1 = 80 : 5
2x+1 = 16
2x+1 = 24
=>x+1 = 4
x = 4 - 1
x = 3
200 - (254 : x + 3) : 2 = 262
200 - (254 : x + 3) = 262 . 2
200 - (254 : x + 3) = 524
254 : x + 3 = 200 - 524
254 : x + 3 = -324
254 : x = -327
x = 254 : (-327)
x = \(-\frac{254}{327}\)
a) \(20\cdot2^x+1=10\cdot4^2+1\)
\(\Leftrightarrow2\cdot10\cdot2^x=10\cdot4^2\)
\(\Leftrightarrow10\cdot2^{x+1}=10\cdot2^4\)
\(\Rightarrow x+1=4\)
\(\Rightarrow x=3\)
b) \(\left(4-\frac{x}{2}\right)^3-1=2\cdot\left(2^3-\frac{5}{2^0}\right)+1\)
\(\Leftrightarrow\left(4-\frac{x}{2}\right)^3=2\cdot3+1+1\)
\(\Leftrightarrow\left(4-\frac{x}{2}\right)^3=8=2^3\)
\(\Rightarrow4-\frac{x}{2}=2\)
\(\Leftrightarrow\frac{x}{2}=2\)
\(\Rightarrow x=4\)
\(3^2.\left(x+4\right)-5^2=5.2^2\)
= \(9.\left(x+4\right)-25=5.4\)
= \(9.\left(x+4\right)-25=20\)
= \(9.\left(x+4\right)=20+25\)
= \(9.\left(x+4\right)=45\)
\(\left(x+4\right)=45:9\)
\(x+4=5\)
\(x=5-4\)
\(x=1\)
32.(x+4)-52=5.22
32.(x+4)=52+(5.22)
32.(x+4)=45
x+4=45:32
x+4=5
x=5-4
x=1
\(\Leftrightarrow2^x\cdot\dfrac{1}{8}+2^x\cdot\dfrac{1}{4}+2^x\cdot\dfrac{1}{2}=254\)
\(\Leftrightarrow2^x\cdot\dfrac{7}{8}=254\)
\(\Leftrightarrow2^x=\dfrac{2032}{7}\)
mà x là số tự nhiên
nên \(x\in\varnothing\)
\(\frac{2^X}{2^3}+\frac{2^X}{2^2}+\frac{2^X}{2^1}=254\)
\(2^X+2.2^X+4.2^X=2^3.254\)
\(7.2^X=2032\)
\(2^X=\frac{2032}{7}\)(\(X\ne2^{\alpha}\))
\(\Rightarrow DESAI\)
Cau 1, 200-(254:x+3):2=262
(254:x+3):2=200-262
(254:x+3):2=-62
254:x+3=-62.2
254:x+3=-124
254:x=-124-3
254:x=-127
x=254:(-127)
x=-2
Vay x=-2
Cau 2, 5.2x+1=80
2x+1=80:5
2x+1=16
2x+1=24
x+1=4
x=4-1
x=3
Vay x=3