2/5.3x-1/2-1/4=1/5

=>2/5.3x-1/4=1/5

=>2/5.3x=1/5+1/4

=>2/5.3x=9/20

=>3.x=9/20:2/5

=>3.x=9/8

=>x=9/8:3

=>x=3/8

vay x=3/8

2/5.3x-1/2-1/4 = 1/5

=> 2/5.3x = 1/5+1/4+1/2

2/5.3x = 19/20

3x = (19/20):(2/5)

3x = 19/8

x = (19/8):3

x = 19/24 

Trả lời:

\(3x+1+5\times3x+2=144\)

\(\Leftrightarrow3x+1+15x+2=144\)

\(\Leftrightarrow18x=141\)

\(\Leftrightarrow x=\frac{47}{8}\)

Vậy \(x=\frac{47}{8}\)

chờ chút

mà 3x+2 là riêng x thôi hay cả 3x ậy bạn

x = 2

3 mũ x . 9 - 5. 3 mũ x = 36

3 mũ x . ( 9-5 ) = 36

3 mũ x              = 36 : 4 = 9

Ta có: \(4.3^{x+2}-2.3^{x+1}=810\)

\(4.3^{x+1}.3-2.3^{x+1}=810\)

\(2.3^{x+1}\left(2.3-1\right)=810\)

\(2.3^{x+1}.5=810\)

\(3^{x+1}=81=3^4\)

x+1=4

x=3

Nguyễn Thị Mai:

\(^{\frac{1}{2.3}x+\frac{1}{3.4}x+....+\frac{1}{49.50}x=1}\)

Đặt: \(^{\left(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{49.50}\right)x=1}\)

\(^{\Leftrightarrow\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{49}-\frac{1}{50}\right)x=1}\)

\(^{\Leftrightarrow\frac{1}{2}+\left(\frac{1}{3}-\frac{1}{3}\right)+\left(\frac{1}{4}-\frac{1}{4}\right)+...+\left(\frac{1}{49}-\frac{1}{49}\right)-\frac{1}{50}x=1}\)

\(^{\Leftrightarrow\left(\frac{1}{2}+0+0+...+0-\frac{1}{50}\right)x=1}\)

\(^{\Leftrightarrow\left(\frac{1}{2}-\frac{1}{50}\right)x=1}\)

\(^{\Leftrightarrow\frac{12}{25}x=1}\)

\(^{\Leftrightarrow x=\frac{25}{12}}\)

Tham khảo nha ~~

\(2.3^{x+1}=10.3^{12}+8.3^{12}\\ VP=\left(10+8\right).3^{12}=18.3^{12}=2.3^2.3^{12}\\ =2.3^{2+12}=2.3^{14}\\ VT=VP\\ \Rightarrow2.3^{x+1}=2.3^{14}\\ \Rightarrow x+1=14\\ Vậy:x=14-1=13\)

\(2\cdot3^{x+1}=10\cdot3^{12}+8\cdot3^{12}\\\Rightarrow 2\cdot3^{x+1}=3^{12}\cdot(10+8)\\\Rightarrow 2\cdot3^{x+1}=3^{12}\cdot18\\\Rightarrow 2\cdot3^{x+1}=3^{12}\cdot3^2\cdot2\\\Rightarrow 3^{x+1}=3^{12}\cdot3^2\\\Rightarrow 3^{x+1}=3^{14}\\\Rightarrow x+1=14\\\Rightarrow x=14-1\\\Rightarrow x=13\\Vậy:x=13\)

-1/2.3x+3/4=-2.25

-1/2.3x+3/4=9/4

-1/2.3x      =9/4-3/4

-1/2.3x      =3/2

       3x     =3/2:-1/2

       3x     =-3

        x     =-3:3

        x     =-1

vậy   x=-1

\(-\frac{1}{2}.3x+\frac{3}{4}=-2,25\)

\(\Rightarrow\frac{1}{2}.(-3).x+\frac{1}{2}.\frac{3}{2}=\frac{9}{4}\)

\(\Rightarrow\frac{1}{2}.\left(-3x+\frac{3}{2}\right)=\frac{9}{4}\)

\(\Rightarrow-3x+\frac{3}{2}=\frac{9}{4}:\frac{1}{2}\)

\(\Rightarrow-3x+\frac{3}{2}=\frac{9}{2}\)

\(\Rightarrow-3x=3\)

\(\Rightarrow x=-1\)

\(2\cdot3^x-1=53\\ \Leftrightarrow2\cdot3^x=54\\ \Leftrightarrow3^x=27\\ \Leftrightarrow x=3\)

\(2\cdot3^x-1=53\\ 2\cdot3^x=54\\ 3^x=27\\ 3^x=3^3=>x=3\)