K
Khách

Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.

25 tháng 8 2018

bài này dễ ợt

25 tháng 8 2018

a,\(4^n.2^n=512\)

\(\Rightarrow2^{2n}.2^n=512\Rightarrow2^{3n}=2^9\Rightarrow3n=9\Rightarrow n=3\)

b,\(3^n+3^{n+3}=252\)( sửa đề ) 

\(\Rightarrow3^n.\left(1+3^3\right)=252\Rightarrow3^n.28=252\Rightarrow3^n=9\Rightarrow n=2\)

c,\(2.3^{2x+2}=18\)

\(\Rightarrow3^{2n+2}=9\Rightarrow2n+2=2\Rightarrow n=0\)

d,\(x^2=2^3+3^2+4^3\)

\(\Rightarrow x^2=8+9+64\Rightarrow x^2=81\Rightarrow x^2=9^2=\left(-9\right)^2\Rightarrow x=9\)hoặc \(x=-9\)

e,\(x^5=x^9\)

\(\Rightarrow x^9-x^5=0\Rightarrow x^5.\left(x^4-1\right)=0\Rightarrow\hept{\begin{cases}x^5=0\\x^4-1=0\end{cases}\Rightarrow\hept{\begin{cases}x=0\\x=1\\x=-1\end{cases}}}\)

f,\(\left(x-4\right)^3=\left(x-4\right)^{10}\)

\(\Rightarrow\left(x-4\right)^{10}-\left(x-4\right)^3=0\Rightarrow\left(x-3\right)^3.\left[\left(x-3\right)^7-1\right]=0\)

\(\Rightarrow\hept{\begin{cases}\left(x-3\right)^3=0\\\left(x-3\right)^7=1\end{cases}\Rightarrow\hept{\begin{cases}x-3=0\\x-3=1\end{cases}\Rightarrow}\hept{\begin{cases}x=3\\x=4\end{cases}}}\)

27 tháng 8 2018

Bài 1: m=11, n=12
Bài 2:a=5, b=6, c=8

30 tháng 12 2021

\(\dfrac{-3}{5}-x=\dfrac{21}{10}\)

\(x=\dfrac{-3}{5}-\dfrac{21}{10}\)

\(x=\)-\(\dfrac{27}{10}\)

 

\(x:\dfrac{2}{9}=\dfrac{9}{2}\)

\(x.\dfrac{9}{2}=\dfrac{9}{2}\)

\(x=\dfrac{9}{2}:\dfrac{9}{2}\)

\(x=1\)

 

\(\dfrac{x}{9}=\dfrac{5}{3}\)

\(x.3=5.9\)

\(x.3=45\)

\(x=45:3=15\)

 

\(x:\left(\dfrac{2}{5}\right)^3=\left(\dfrac{5}{2}\right)^3\)

\(x:\dfrac{8}{125}=\dfrac{125}{8}\)

\(x.\dfrac{125}{8}=\dfrac{125}{8}\)

\(x=\dfrac{125}{8}:\dfrac{125}{8}=1\)

 

c: \(\left(n-2\right)^2-\left(n+3\right)\left(n-3\right)=4\left(n-1\right)\)

\(\Leftrightarrow n^2-4n+4-n^2+9=4n-4\)

=>-4n+13=4n-4

=>-8n=-17

hay n=17/8

a: \(\left(n-2\right)\left(n+2\right)+6\left(n-1\right)=\left(n+1\right)^2\)

\(\Leftrightarrow n^2-4+6n-6=n^2+2n+1\)

=>6n-10=2n+1

=>4n=11

hay n=11/4

d: \(2\left(3-x\right)-3\left(x-1\right)=4\left(x-3\right)\)

=>6-2x-3x+3=4x-12

=>-5x+9=4x-12

=>-9x=-21

hay x=7/3

 

9 tháng 3 2019

a,<=>\(\frac{20\left(1-2x\right)+6x}{12}\)=\(\frac{9\left(x-5\right)-24}{12}\)

=> 20-40x+6x = 9x-45-24

<=> -40x+6x-9x = -20-45-24

<=> -43x = -89

<=> x = \(\frac{89}{43}\)

c,ĐKXĐ :x\(\ne\pm1\)

<=>\(\frac{3\left(x+1\right)}{x^2+1}\) = -\(\frac{3x+2}{x^2+1}\) - \(\frac{4\left(x-1\right)}{x^2+1}\)

=> 3x+1 = -3x-2-4x+4

<=>3x+3x+4x = -1-2+4

<=> 10x = 1

<=> x =\(\frac{1}{10}\)(TMĐK)