\(\left(x+2\right)-26=\left(4^3-3^2.7\right)^{100}\)
Tìm x
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Tìm x biết :a) 3+2^{x-1}24-left[4^2-left(2^2-1right)right]b) left(x+1right)+left(x+2right)+left(x+3right)+...............+left(x+100right)205550c) left|x-5right|18+2.left(-8right)d) left(3.x-2^4right).7^52.7^6.frac{1}{2009^0}
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Tìm x biết :\(a\)) \(3+2^{x-1}=24-\left[4^2-\left(2^2-1\right)\right]\)\(b\)) \(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...............+\left(x+100\right)=205550\)\(c\)) \(\left|x-5\right|=18+2.\left(-8\right)\)\(d\)) \(\left(3.x-2^4\right).7^5=2.7^6.\frac{1}{2009^0}\)
a/ \(3+2^{x-1}=24-\left[4^2-\left(2^2-1\right)\right]\\3+2^{x+1}=24-\left[16-\left(4-1\right)\right]\)
\(3+2^{x+1}=24-\left(16-3\right)\\ 3+2^{x-1}=24-13\\ 3+2^{x-1}=11\\ 2^{x+1}=11-3\\ 2^{x-1}=8\)
\(2^{x-1}=2^3\\ \Rightarrow x-1=3\\x=3+1\\ x=4\)
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\(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+100\right)=205550\)
\(\left(x.100\right)+\left(1+2+3+....+100\right)=205550\)
Ta tính tổng \(1+2+3+...+100\\ \) trước
Số các số hạng: \(\left[\left(100-1\right):1+1\right]=100\)
Tổng :\(\left[\left(100+1\right).100:2\right]=5050\)
Thay số vào ta có được:
\(\left(x.100\right)+5050=205550\\ \\ x.100=205550-5050\\ \\x.100=20500\\ \\x=20500:100\\ \\\Rightarrow x=2005\)
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\(\left|x-5\right|=18+2.\left(-8\right)\\\left|x-5\right|=18+\left(-16\right)\\\left|x-5\right|=2\: \)
\(\Rightarrow\left[\begin{array}{nghiempt}x-5=2\\\\x-5=\left(-2\right)\end{cases}\Rightarrow\left[\begin{array}{nghiempt}x=2+5\\\\x=\left(-2\right)+5\end{array}\right.\Rightarrow\left[\begin{array}{nghiempt}x=7\\\\x=3\end{array}\right.}\)
=> x ϵ {7;3}
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tìm x:
\(^{5^{x-2}-3^2=2^4-\left(2^8.2^4-2^{10}.2^2\right)}\)
\(697:\left[\left(15x+364\right):x\right]=17\)
\(\left(3x-2^4\right).7^3=2.7^4\)
a/\(^{3+2^{x-1}=24-\left[4^2-\left(2^2-1\right)\right]}\)
b/(x+1)+(x+2)+(x+3)+....+(x+100)=205550
c/Ix-5I=18+2x(-8)
d/\(\left(3x-2^4\right).7^5=2.7^6.\frac{1}{2009^0}\)
b/100x+(1+2+3+...+100)=205550
100x+5050=205550
100x=205550-5050
100x=200500
x=200500/100
x=2005
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d/(3x-24).75=2.76.1/20090
(3x-24).75=2.76.1
(3x-24)=2.76:75
(3x-24)=2.7
3x-16=14
3x=14+16
3x=30
x=30/10=3
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b) ( \(x\)+ 1 ) + ( \(x\)+ 2 ) + ( \(x\)+ 3 ) + ... + ( \(x\)+ 100 ) = 205550
\(x\)x 100 + ( 1 + 2 + 3 + ... + 100 ) = 205550
\(x\)x 100 + 5050 = 205550
\(x\)x 100 = 205550 - 5050
\(x\)x 100 = 200500
\(x\)= 200500 : 100
\(x\)= 2005
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Tìm x :
a ) \(\left(x+2\right)\left(x^2-2x+4\right)-x\left(x-3\right)\left(x+3\right)=26\)
\(\left(x+2\right)\left(x^2-2x+4\right)-x\left(x-3\right)\left(x+3\right)=26\)
\(\Leftrightarrow x^3+8-x\left(x^2-9\right)=26\)
\(\Leftrightarrow x^3+8-x^3+9x=26\)
\(\Leftrightarrow9x=18\)
\(\Leftrightarrow x=2\)
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\(\left(x+2\right)\left(x^2-2x+4\right)-x\left(x-3\right)\left(x+3\right)=26\)
\(\Leftrightarrow x^3+2^3-x.\left(x^2-3^2\right)=26\)
\(\Leftrightarrow x^3+2^3-x^3+9x^2=26\)
\(\Leftrightarrow8+9x=26\)
\(\Leftrightarrow9x=26-8\)
\(\Leftrightarrow9x=18\)
\(\Leftrightarrow x=18:9\)
\(\Leftrightarrow x=2\)
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tìm x biết a)x+2x+3x+4x+...+2015x2016times2017b)1-3+3^2-3^3+...+left(-3right)^xfrac{9^{1008}-1}{4}c)left|x+1right|+left|x+2right|+...+left|x+100right|605xd)tìm x nguyên biết left|x-1right|+left|x-2right|+...+left|x-100right|2500e) tìm x nguyên biết 2004left|x-4right|+left|x-10right|+left|x+101right|+left|x+99xright|+left|x+1000right|
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tìm x biết
a)\(x+2x+3x+4x+...+2015x=2016\times2017\)
b)\(1-3+3^2-3^3+...+\left(-3\right)^x=\frac{9^{1008}-1}{4}\)
c)\(\left|x+1\right|+\left|x+2\right|+...+\left|x+100\right|=605x\)
d)tìm x nguyên biết \(\left|x-1\right|+\left|x-2\right|+...+\left|x-100\right|=2500\)
e) tìm x nguyên biết \(2004=\left|x-4\right|+\left|x-10\right|+\left|x+101\right|+\left|x+99x\right|+\left|x+1000\right|\)
tìm x:
a) \(5^{x-2}-3^2=2^4-\left(2^8.2^4-2^{10}.2^2\right)\)
b) 697 : [ ( 15x + 364 ) : x ] = 17
c)\(\left(3x-2^4\right).7^3=2.7^4\)
tìm x biết \(\left(3.\left|x.\left(-24\right)\right|.7^{2019}\right)=2.7^{2020}.\frac{1}{2020}\)
tìm x \(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+\left(x+4\right)+...+\left(x+99\right)+\left(x+100\right)=5750\)
\(\left(x+1\right)+\left(x+2\right)+...+\left(x+100\right)=5750\)
\(\left(x\cdot100\right)+\left(1+2+...+100\right)=5750\)
\(\left(x\cdot100\right)+\left(100+1\right)\cdot\frac{100}{2}=5750\)
\(\left(x\cdot100\right)+101\cdot50=5750\)
\(\left(x\cdot100\right)+5050=5750\)
\(x\cdot100=5750-5050\)
\(x\cdot100=700\)
\(x=700\div100\)
\(x=7\)
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Ta có: ( x+1)+(x+2)+(x+3)+.....+(x+99)+(x+100)=5750
<=>(x+x+x+....+x+x)+(1+2+3+..+99+100)=5750
<=> 100x+5050=5750
=>100x=5750-5050
=>100x=700
=>x=700:100
=>x=7
Vậy x=7
hoặc mở câu hỏi tương tự tham khảo.
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tìm các số nguyên n sao cho
\(\left(\frac{4}{9}\right)^n=\left(\frac{2}{3}\right)^5\)
Tìm X
\(7^{X+2}+2.7^{X-1}=345\)
\(\left(\frac{4}{9}\right)^n=\left(\frac{2}{3}\right)^5\)
<=>\(\left(\frac{2}{3}\right)^{\frac{n}{2}}=\left(\frac{2}{3}\right)^5\)
<=>\(\frac{n}{2}=5\)
<=>n=10
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\(\left(\frac{4}{9}\right)^n=\left(\frac{2}{3}\right)^5\)
\(\Rightarrow\left(\frac{2}{3}\right)^{2n}=\left(\frac{2}{3}\right)^5\)
\(\Rightarrow2n=5\Rightarrow n=\frac{5}{2}\)
Vậy n = 5/2
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