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\(\hept{\begin{cases}3|x|+15=0\\16-x^2=0\\x^3+125=0\end{cases}}\)
\(\hept{\begin{cases}3x+15=0\\16-x^2=0\\x^3+125=0\end{cases}}\)
\(\hept{\begin{cases}3x=0-15\\x^2=16-0\\x^3=0-125\end{cases}}\)
\(\hept{\begin{cases}3x=-15\\x^2=16\\x^3=-125\end{cases}}\)
\(\hept{\begin{cases}x=\left(-15\right):3\\x^2=4^2=\left(-4\right)^2\\x^3=-5^3\end{cases}}\)
\(\hept{\begin{cases}x=-5\\x=4=-4\\x=-5\end{cases}}\)

\(\frac{1}{2}\cdot4^n+4\cdot4^n=9\cdot2^{n+1}\)
\(\Rightarrow4^n\left(\frac{1}{2}+4\right)=9\cdot2^{n+1}\)
\(\Rightarrow2^{2n}\cdot\frac{9}{2}=9\cdot2^{n+1}\)
\(\Rightarrow2^{2n}=9\cdot2^{n+1}:\frac{9}{2}\)
\(\Rightarrow2^{2n}=9\cdot2^{n+1}\cdot\frac{2}{9}\)
\(\Rightarrow2^{2n}=2^{n+2}\)
\(\Rightarrow2n=n+2\)
\(\Rightarrow n=2\)

\(4998\div7^2=302-2×\left(58×x-16\right)\)
\(102=302-2×\left(58×x-16\right)\)
\(2×\left(58×x-16\right)=302-102\)
\(2×\left(58×x-16\right)=200\)
\(58×x-16=200\div2=100\)
\(58×x=100+16=116\)
\(x=116\div58\)
\(x=2\)
Vậy...

=(2.8.16)(a^2.a^3.a^3)(x^2.x^3.x^3)(y,y^4.y^3)
=16^2.a^8.x^8.y^8
=(2^4)^2.(a.x.y)^8
=2^8.(axy)^8
=(2axy)^8

64.4x=16864.4x=168
82.4x=16882.4x=168
4x=168:824x=168:82
4x=4134x=413
⇒x=13⇒x=13
Vậy x=13
64 . 4x = 168
<=> 26 . 22x = 232
<=> 22x = 226
<=> 2x = 26
<=> x = 13
Xin k ạ!
HT

`#3107`
`3x - 16 \div 2^3 = 4*4^2`
`=> 3x - 2^4 \div 2^3 = 2^2 * (2^2)^2`
`=> 3x - 2 = 2^2 * 2^4`
`=> 3x - 2 = 2^6`
`=> 3x = 2^6 + 2`
`=> 3x = 64 + 2`
`=> 3x = 66`
`=> x = 66 \div 3`
`=> x = 22`
Vậy, `x = 22.`

a) ( 2x + 3)^2 = 121
2x + 3^2 = 121
2x + 9 = 121
2x = 121 - 9
2x = 112
x = 112 : 2
x = 56
Mấy câu sau tự làm nhé bạn
a) (2x + 3)2 = 121
(2x + 3)2 = 112
=> 2x + 3 = 11
2x = 11 - 3
2x = 8
x = 8 : 2
x = 4
b) (75 - 3x)3 = 27
( 75 - 3x)3 = 33
=> 75 - 3x = 3
3x = 75- 3
3x = 72
x = 72 : 3
x = 24

a) \(\frac{3x}{-4}=\frac{-9}{6}\)
=> \(\frac{-3x}{4}=\frac{-9}{6}\)
=> \(\frac{-3x}{4}=\frac{-3}{2}\)
=> \(\frac{-3x}{4}=\frac{-6}{4}\)
=> \(-3x=-6\)
=> \(x=\left(-6\right):\left(-3\right)=2\)
b) \(\frac{2}{x}=\frac{y}{10}=\frac{4}{-5}\)
=> \(\frac{2}{x}=\frac{y}{10}=\frac{-4}{5}\)
+) \(\frac{2}{x}=\frac{-4}{5}\)
=> \(\left(-4\right)\cdot x=2\cdot5\)
=> \(\left(-4\right)\cdot x=10\)
=> \(x=\frac{10}{-4}=\frac{-10}{4}=\frac{-5}{2}\)
+) \(\frac{y}{10}=\frac{-4}{5}\)
=> \(5\cdot y=-40\)
=> \(y=\left(-40\right):5=-8\)
Vậy \(x=-\frac{5}{2},y=-8\)
c) \(\frac{7}{-x}=\frac{5}{y}=\frac{2}{34}\)
=> \(\frac{-7}{x}=\frac{5}{y}=\frac{1}{17}\)
+) \(\frac{-7}{x}=\frac{1}{17}\Rightarrow x=\left(-7\right)\cdot17=-119\)
+) \(\frac{5}{y}=\frac{1}{17}\Rightarrow y=5\cdot17=85\)
Vậy \(x=-119,y=85\)
d) \(\frac{x^2}{4}=16\)
=> \(x^2=16\cdot4=64\)
=> \(x\in\left\{8;-8\right\}\)
e) \(\frac{3}{x^3}=\frac{4}{-36}\)
=> \(\frac{3}{x^3}=\frac{1}{-9}=\frac{-1}{9}\)
=> \(x^3=3:\left(-\frac{1}{9}\right)=-27\)
=> \(x=-3\)
Vậy x = -3
x=1 nha học tốt
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