a: x-4/5=3/7

=>x=3/7+4/5=43/35

b: x+3/7=4/5

=>x=4/5-3/7=13/35

c: 19/20-x=8/5-3/4

=>19/20-x=32/20-15/20=17/20

=>x=2/20=1/10

d: =>4/5*x=2/21

=>x=2/21:4/5=5/42

e: =>x:7/9=6/8

=>x=6/8*7/9=3/4*7/9=21/36=7/12

f: =>x/6=2/3-1/3=1/3

=>x=2

a: x-4/5=3/7

=>x=3/7+4/5=43/35

b: x+3/7=4/5

=>x=4/5-3/7=13/35

c: 19/20-x=8/5-3/4

=>19/20-x=32/20-15/20=17/20

=>x=2/20=1/10

d: =>4/5*x=11/21

=>x=55/84

e: =>x=6/8*7/9=42/72=7/12

f: =>x/6=2/3-1/3=1/3

=>x=2

x - 4/5 = 3/7

x = 3/7 + 4/5

x = 43/35

x + 3/7 = 4/5

x = 4/5 - 3/7

x = 13/35

19/20 - x = 8/5 - 3/4

19/20 - x =  17/20

x = 19/20 - 17/20

x = 2/20 = 1/10

4/5 x X = 6/9 - 4/7

4/5 x X = 2/21

x = 2/21 : 4/5

x =5/42

x : 7/9 = 6/8

x = 6/8 x 7/9

x = 7/12

2/3 - x/6 = 6/18

x/6 = 2/3 - 6/18

x/6 = 1/3

x/6 = 2/6

=> x =2

1. x = 43/35

2. x = 13/35

3. x = 1/10

còn lại tự tính nhá

tui bận òi

1) \(2^{x+1}\cdot2^{2014}=2^{2015}\)\(\Leftrightarrow2^{2014x+2014}=2^{2015}\)\(\Leftrightarrow2014x+2014=2015\)\(\Leftrightarrow x=\frac{1}{2014}\)

2) \(7x-2x=\frac{6^{17}}{6^{15}}+\frac{44}{11}\)\(\Leftrightarrow5x=6^2+4=36+4=40\)\(\Leftrightarrow x=\frac{40}{5}=8\)

3) \(3^x=9\)\(\Leftrightarrow3^x=3^2\)\(\Leftrightarrow x=2\)

4) \(7x-x=\frac{5^{21}}{5^{19}}+3\cdot2^2-7^0\)\(\Leftrightarrow6x=5^2+3\cdot4-1=25+12-1=36\)\(\Leftrightarrow x=6\)

5) \(4^x=64\)\(\Leftrightarrow4^x=4^3\)\(\Leftrightarrow x=3\)

6) \(9^{x-1}=9\)\(\Leftrightarrow x-1=1\)\(\Leftrightarrow x=0\)

7) \(\frac{2^x}{2^5}=1\)\(\Leftrightarrow2^{x-5}=2^0\)\(\Leftrightarrow x-5=0\)\(\Leftrightarrow x=5\)

8) \(\left(5x-9\right)^3=216\)\(\Leftrightarrow\left(5x-9\right)^3=6^3\)\(\Leftrightarrow5x-9=6\)\(\Leftrightarrow5x=15\)\(\Leftrightarrow x=3\)

9) \(5\cdot3^{7x-11}=135\)\(\Leftrightarrow5.3^{7x-11}=5.3^3\)\(\Leftrightarrow3^{7x-11}=3^3\)\(\Leftrightarrow7x-11=3\)\(\Leftrightarrow7x=14\Leftrightarrow x=2\)

10) \(2.3^x=19\cdot3^8-81^2\)\(\Leftrightarrow2.3^x=19\cdot3^8-3^8=18.3^8=2.3^{11}\)\(\Leftrightarrow3^x=3^{11}\Leftrightarrow x=11\)

Đây là cách làm của mình. Bạn có thể chỉnh sửa tuỳ ý theo cách làm của bạn nhé ^^

Học tốt ^3^

5x + x = 39 - 3¹¹ : 3⁹

6x = 39 - 3²

6x = 39 - 9

6x = 30

x = 30 : 6

x = 5

7x - x = 5²¹ : 5¹⁹ + 3 . 2² - 7⁰

6x = 5² + 3 . 4 - 1

6x = 25 + 12 - 1

6x = 37 - 1

6x = 36

x = 36 : 6

x = 6

7x - 2x = 6¹⁷ : 6¹⁵ + 44 : 11

5x = 6² + 4

5x = 36 + 4

5x = 40

x = 40 : 5

x = 8

0 : x = 0

\(\Rightarrow\)x \(\in\) N*

3^x = 9

3^x = 3²

\(\Rightarrow\) x = 2

4^x = 64

4^x = 4³

\(\Rightarrow\)x = 3

2^x = 16

2^x = 2⁴

\(\Rightarrow\)x = 4

9^x-1 = 9

9^x-1 = 9¹

\(\Rightarrow\)x - 1 = 1

x = 1 + 1

x = 2

x⁴ = 16

2⁴ = 16

\(\Rightarrow\)x = 2

2^x : 2⁵ = 1

2^x : 2⁵ = 2⁰

\(\Rightarrow\) 2⁵ : 2⁵ = 2⁰

\(\Rightarrow\)x = 5

1) \(5x+x=39-3^{11}:3^9\)

\(6x=39-3^2\)

\(6x=39-9\)

\(6x=30\)

\(x=30:6\)

\(x=5\)

2) \(7x-x=5^{21}:5^{19}+3.2^2-7^0\)

\(6x=5^2+3.4-1\)

\(6x=25+12-1\)

\(6x=37-1\)

\(6x=36\)

\(x=36:6\)

\(x=6\)

3) \(7x-2x=6^{17}:6^{15}+44:11\)

\(\left(7-2\right)x=6^2+4\)

\(5x=36+4\)

\(5x=40\)

\(x=40:5\)

\(x=8\)

4) \(0:x=0\)

\(\Rightarrow x\in N\)*

5) \(3^x=9\)

\(3^x=3^2\)

\(\Rightarrow x=2\)

6) \(4^x=64\)

\(4^x=4^3\)

\(\Rightarrow x=3\)

7) \(2^x=16\)

\(2^x=2^4\)

\(\Rightarrow x=4\)

8) \(9^{x-1}=9\)

\(\Rightarrow x-1=1\)

\(x=1+1\)

\(x=2\)

9) \(x^4=16\\\)

\(x^4=2^4\)

\(\Rightarrow x=2\)

10) \(2^x:2^5=1\)

\(2^x:32=1\)

\(2^x=32.1\)

\(2^x=32\)

\(2^x=2^5\)

\(\Rightarrow x=5\)

Mình không bắt chước nha! Hãy chọn câu của mình nhé! Chúc bạn học tốt và giỏi!

1.x=4

2.x=6

3.x=8

\(a.\)\(7x-2x=6^{17}:6^{15}+44:11\)

\(\Leftrightarrow5x=6^2+4\)

\(\Leftrightarrow5x=36+4\)

\(\Leftrightarrow5x=40\)

\(\Leftrightarrow x=40:5\)

\(\Leftrightarrow x=8\)

\(b.\)\(9^{x-1}=9\)

\(\Leftrightarrow9^x:9=9\)

\(\Leftrightarrow9^x=81\)

\(\Leftrightarrow9^x=9^2\)

\(\Leftrightarrow x=2\)

\(c.\)\(\left|x-5\right|=7-\left(-3\right)\)

\(\Leftrightarrow\left|x-5\right|=7+3\)

\(\Leftrightarrow\left|x-5\right|=10\)

\(\Leftrightarrow\orbr{\begin{cases}x-5=10\\x-5=-10\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=15\\x=-5\end{cases}}\)

\(d.\)\(\left|x-5\right|=\left|-7\right|\)

\(\Leftrightarrow\left|x-5\right|=7\)

\(\Leftrightarrow\orbr{\begin{cases}x-5=7\\x-5=-7\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=12\\x=-2\end{cases}}\)

\(e.\)\(\left|x\right|-5=3\)

\(\Leftrightarrow\left|x\right|=8\)

\(\Leftrightarrow\orbr{\begin{cases}x=8\\x=-8\end{cases}}\)

\(g.\)\(15-2\left|x\right|=13\)

\(\Leftrightarrow2\left|x\right|=15-13=2\)

\(\Leftrightarrow\left|x\right|=2:2=1\)

\(\Leftrightarrow\orbr{\begin{cases}x=1\\x=-1\end{cases}}\)

\(h.\)\(\left|x-2\right|=0\)

\(\Leftrightarrow x-2=0\)

\(\Leftrightarrow x=0+2\)

\(\Leftrightarrow x=2\)