a)x-63:9=18

   x-63  =18.9

   x-63  =162

   x      =162+63

   x      =225

b)3(29-x)+52=103

   3(29-x)     =103-52

   3(29-x)     =51

      29-x      =51:3     

      29-x      =17

          x       =12

c)|x-1|=4

=>x-1=4 hoặc x-1= -4

=>x=5 hoặc x= -3

d)(-7)-x= -21

        x=(-7)-(-21)

        x=14

a) x-63;9=18

 x-7=18

x=18+7=25

b)3(29-x)=103-52

87-3x=51

    -3x=51-87=-36

     x=12

c)

* x-1 =4

x=5

* x-1=-4

x=-3

d)(-7)-x=-21

-x=-21+7=14

x=14

a) 22+x=52

x=52-22

x=30

b) 2x-3=45

2x=45+3

2x=48

x=48:2

x=24

c)4^x = 64

4x=4³

\(\Rightarrow x=3\)

a) 22+x=52

          x=52-22

          x=30

b) 2x-3=45

        2x=45+3

        2x=48

          x=48 : 2

          x=24

c) \(4^x=64\)

    \(4^x=4^3\)

=> x=3

\(a,22+x=52\)                                                               \(c,4^x=64\)

\(\Rightarrow x=52-22\)                                                            \(\Rightarrow4^x=4^3\)

\(\Rightarrow x=30\)                                                                        \(\Rightarrow x=3\)

\(b,2x-3=45\)

\(\Rightarrow2x=45+3\)

\(\Rightarrow2x=48\)

\(\Rightarrow x=\frac{48}{2}=24\)

Đáp án cần chọn là: D

a, 71.2 – 6.(2x+5) =  10 5 : 10 3

71.2 – 6.(2x+5) =  10 2

6.(2x+5) = 71.2 – 100

6.(2x+5) = 42

x = 1

b,  5 x + 3 4 . 6 8 = 6 9 . 3 4

5 x + 3 4 . 6 8 = 6 8 . 6 . 3 4

5 x + 3 4 = 6 8 . 6 . 3 4 : 6 8 = 6 . 3 4

5x =  6 . 3 4 - 3 4 = 5 . 3 4

x =  3 4

c, 12:{390:[5. 10 2  – ( 5 3 + x . 7 2 )]} = 4

390:[5. 10 2  – ( 5 3 + x . 7 2 )] = 12:4 = 3

5. 10 2  – ( 5 3 + x . 7 2 ) = 390:3 = 130

5 3 + x . 7 2 = 5. 10 2  – 130 = 370

x . 7 2 = 370 –  5 3 = 245

x = 245: 7 2 = 5

d,  5 3 .(3x+2):13 =  10 3 : 13 5 : 13 4

5 3 .(3x+2):13 =  10 3 : 13

3x+2 =  10 3 : 13 : 5 3 .13 = 8

x = 2

a)  5 6 + 1 6 ≤ x ≤ 13 4 + 14 8 ⇔ 1 ≤ x ≤ 5 ⇔ x ∈ 1 ; 2 ; 3 ; 4 ; 5

b)  − 5 6 + 8 3 + 29 − 6 ≤ x ≤ − 1 2 + 2 + 5 2 ⇔ − 3 ≤ x ≤ 4 ⇔ x ∈ − 3 ; − 2 ; − 1 ; 0 ; 1 ; 2 ; 3 ; 4

c)  79 15 + 7 5 + − 8 3 ≤ x ≤ 10 3 + 15 4 + 23 12 ⇔ 4 ≤ x ≤ 9 ⇔ x ∈ 4 ; 5 ; 6 ; 7 ; 8 ; 9

1: =>\(5^{2x-3}=5^2\cdot3+5^2\cdot2=5^2\cdot5=5^3\)

=>2x-3=3

=>2x=6

=>x=3

2: \(41-2^{x+1}=9\)

=>\(2^{x+1}=32\)

=>x+1=5

=>x=4

3: =>\(4^{x+2}=65-1=64\)

=>x+2=3

=>x=1

\(5^{2x-3}-2.5^2=5^2.3\\ 5^{2x-3}=5^2.3+5^2.2\\ 5^{2x-3}=5^2.\left(3+2\right)\\ 5^{2x-3}=5^2.5\\ 5^{2x-3}=5^3\\ \Rightarrow2x-3=3\\ 2x=3+3\\ 2x=6\\ x=\dfrac{6}{2}\\ Vậy:x=3\)

\(41-2^{x+1}=9\\ 2^{x+1}=41-9\\ 2^{x+1}=32=2^5\\ \Rightarrow x+1=5\\ \Leftrightarrow x=5-1=4\\ ---\\ 65-4^{x+2}=2014^0\\ 65-4^{x+2}=1\\ 4^{x+2}=65-1\\ 4^{x+2}=64=4^3\\ \Rightarrow x+2=3\\ Vậy:x=1\)

1.A.0.96

Câu a tự làm nhé

b, \(\frac{2x+3}{24}=\frac{3x-1}{32}\)

\(\Leftrightarrow32(2x+3)=24(3x-1)\)

\(\Leftrightarrow64x+96=72x-24\)

\(\Leftrightarrow64x+96-72x=-24\)

\(\Leftrightarrow96-8x=-24\Leftrightarrow x=15\)

2. a. \(\frac{x}{3}=\frac{y}{4}=\frac{z}{6}\) và x + y + z = 52

Ta có : \(\frac{x}{3}=\frac{y}{4}=\frac{z}{6}=\frac{x+y+z}{3+4+6}=\frac{52}{13}=4\)\((\)áp dụng tính chất dãy tỉ số bằng nhau \()\)

Vậy : \(\hept{\begin{cases}\frac{x}{3}=4\\\frac{y}{4}=4\\\frac{z}{6}=4\end{cases}}\Leftrightarrow\hept{\begin{cases}x=12\\y=16\\z=24\end{cases}}\)

1)\(x=\left(\dfrac{1}{5}+\dfrac{2}{3}\right):\dfrac{4}{7}=\left(\dfrac{3}{15}+\dfrac{10}{15}\right):\dfrac{4}{7}=\dfrac{13}{15}:\dfrac{4}{7}=\dfrac{91}{60}\)

2)\(x=\left(-\dfrac{3}{10}-\dfrac{3}{4}\right):\dfrac{1}{2}=\left(-\dfrac{6}{20}-\dfrac{15}{20}\right):\dfrac{1}{2}=-\dfrac{21}{20}:\dfrac{1}{2}=-\dfrac{21}{10}\)

3)\(x=-\dfrac{24}{36}-\dfrac{7}{15}=-\dfrac{2}{3}-\dfrac{7}{15}=\dfrac{-10}{15}-\dfrac{7}{15}=-\dfrac{17}{15}\)

1) \(\dfrac{4}{7}x=\dfrac{1}{5}+\dfrac{2}{3}\)

\(\dfrac{4}{7}x=\dfrac{13}{15}\)

\(x=\dfrac{91}{60}\)

2) \(\dfrac{1}{2}x=-\dfrac{3}{10}-\dfrac{3}{4}\)

\(\dfrac{1}{2}x=-\dfrac{21}{20}\)

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

3) \(x=-\dfrac{24}{36}-\dfrac{7}{15}\)

\(x=\dfrac{-2}{3}+\dfrac{7}{15}\)

\(x=-\dfrac{17}{15}\)

1) 4/7 x - 2/3 = 1/5

4/7 x = 1/5 + 2/3

4/7 x = 13/15

x = 13/15 : 4/7

x = 91/60

2)1/2 x + 3/4 = -3/10

1/2 x = -3/10 - 3/4 

1/2 x = -21/20

x = -21/20 : 1/2

x = -21/10

3)x+7/15 = -24/36

x+7/15 = -2/3

x = -2/3 - 7/15

x = -17/15.

| 2x - 3 | + 4.5² = 103

| 2x - 3 | + 4.25 = 103

| 2x - 3 | + 100 = 103

| 2x - 3 | = 103 - 100

| 2x - 3 | = 3

=> 2x - 3 = 3           hoặc      2x - 3 = - 3

     2x = 3 + 3                        2x = -3 + 3

     2x = 6                              2x = 0

       x = 6 : 2                           x = 0 : 2

       x = 3                                x = 0

vậy .................

/2x-3/+4.25=103

=>/2x-3/+100=103

=>/2x-3/=103-100

=>/2x-3/=3

=>\(\orbr{\begin{cases}2x-3=3\\2x-3=-3\end{cases}\Rightarrow\orbr{\begin{cases}2x=6\\2x=0\end{cases}\Rightarrow}\orbr{\begin{cases}x=3\\x=0\end{cases}}}\)

Mik làm tắt

\(\Leftrightarrow|2x-3|=3\)

\(\Leftrightarrow\orbr{\begin{cases}2x-3=3\\2x-3=-3\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}2x=6\\2x=0\end{cases}}\)

\(\orbr{\begin{cases}x=3\\x=0\end{cases}}\)