(4.x.2⁵).6⁴=3.6⁸

4.x.32 = 3.6⁸:6⁴

4.x.32= 3.6^8-4

4.x.32= 3.6⁴

4.x.32= 3.1396

4.x.32 = 3888

x.32=3888:4

x=972:32

x=30,375

ko bt co dung ko

     \(\left(4x.2^5\right).6^4=3.6^8\)

\(\Rightarrow4x.2^5=3.6^8\div6^4\)

\(\Rightarrow4x.32=3.6^4\)

\(\Rightarrow4x.32=3888\)

\(\Rightarrow4x=3888\div32\)

\(\Rightarrow4x=121,5\)

\(\Rightarrow x=121,5\div4\)

\(\Rightarrow x=30,375\)

Vậy \(x=30,375\)

Hok tốt !!!!!!!! ^^

\(x+2x+3x+4x+...+100x+50=5200\)

\(x\left(1+2+3+...+100\right)+50=5200\)

\(5050x+50=5200\)

\(5100x=5200\)

\(x=\frac{52}{51}\)

x =52/51

x =52/51

x+x.2+x.3+...+x.100+50=5200

x.(1+2+3+..+100)+50=5200

Có 1+2+3+...+100=(100+1).100:2=5050

suy ra x.(1+2+3+...+100)+50=x.5050+50=5200

x=5150:5050=\(103\over 101\)

(3x + 3)² = 144

=> (3x + 3)² = ( \(\pm\)12)²

=> \(\orbr{\begin{cases}3x+3=12\\3x+3=-12\end{cases}}\Rightarrow\orbr{\begin{cases}3x=9\\3x=-15\end{cases}}\Rightarrow\orbr{\begin{cases}x=3\\x=-5\end{cases}}\)

  Bài làm :   

     (3.x + 3)² = 144

=> (3.x + 3) = \(\sqrt{144}\)

=> 3.x + 3 = 12

=> 3.x       = 12 - 3

=> 3.x       = 9

=> x          = 9 : 3

=> x          = 3

\(\left(3x+3\right)^2=144\)

\(\Leftrightarrow\left(3x+3\right)^2=\left(\pm12\right)^2\)

\(\Leftrightarrow\orbr{\begin{cases}3x+3=12\\3x+3=-12\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}3x=9\\3x=-15\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=3\\x=-5\end{cases}}\)

Ta có: \(x+2x+3x+4x+...+100x+50=5200\)

\(\Leftrightarrow x\left(1+2+3+4+...+100\right)=5150\)

\(\Leftrightarrow x\cdot\frac{\left(1+100\right)\cdot\left[\left(100-1\right)\div1+1\right]}{2}=5150\)

\(\Leftrightarrow x\cdot5050=5150\)

\(\Rightarrow x=\frac{103}{101}\)

nhanh lên

bài này khó

12000

a, x = -80

b, x = -11 hoặc -5

c, x =4

d, x  thuộc 1 , 7

 sorry mik ko bik dùng dấu thuộc nhé

a,-80

b,-5

c,4

d,1;7

a=-80

b=-5

c=4

d=1;7

=>5^x+3(5-3)=2.5¹¹

=>5^x+3=5¹¹

=>x+3=11

=>x=8

\(5^{x+4}-3.5^{x+3}=2.5^{11}\)

\(\Rightarrow5^{x+3}\left(5-3\right)=2.5^{11}\)

\(\Rightarrow5^{x+3}=5^{11}\)

\(\Rightarrow x+3=11\)

\(\Rightarrow x=8\)

Ta có: x/4=y/3=z/5

=x^2/16=y^2/9=z^2/25

=x^2+y^2+z^2/16+9+25

=200/50

=4

Từ x^2/16=4

=x^2=4.16=64

=x^2=8^2

=x=8

y^2/9=4

=y^2=4.9=36

=y^2=6^2

=y=6

z^2/25=4

=z^2=4.25=100

=z^2=10^2

=z=10

Vậy x=8,y=6,z=10

P/s:Bạn thông cảm,máy nhà mình ko có dấu suy ra.

\(\frac{x}{4}=\frac{y}{3}=\frac{z}{5};x^2+y^2+z^2=200\)

<=>\(\frac{x^2}{4^2}=\frac{y^2}{3^2}=\frac{z^2}{5^2}\)

<=>\(\frac{x^2}{16}=\frac{y^2}{9}=\frac{z^2}{25}\)

Áp dụng tính chất của dãy tỉ số bằng nhau ta có :

\(\frac{x^2}{16}=\frac{y^2}{9}=\frac{z^2}{25}=\frac{x^2+y^2+z^2}{16+9+25}\)\(=\)\(\frac{200}{50}=4\)

=>\(\hept{\begin{cases}\frac{x}{4}=4\\\frac{y}{3}=4\\\frac{z}{5}=4\end{cases}=>}\hept{\begin{cases}x=16\\y=12\\z=20\end{cases}}\)

vậy\(\hept{\begin{cases}x=16\\y=12\\z=20\end{cases}}\)