\(a.\left[\left(8x-12\right):4\right]\cdot3^3=3^6\\ \left(8x-12\right):4=3^6:3^3\\ \left(8x-12\right):4=27\\ 8x-12=27\cdot4\\ 8x-12=108\\ 8x=108+12\\ 8x=120\\ x=15\\ b.41-2^{x+1}=9\\ 2^{x+1}=32\\ 2^{x+1}=2^5\\=> x+1=5\\ =>x=4\)

a,[(8x-12):4].3³=3⁶

(8x-12):4=3⁶:3³

(8x-12):4=3³

(8x-12):4=9

8x-12=9.4

8x-12=36

8x=36+12

8x=48

x=6

Vậy x=6

b,41-2^x+1=9

2^x+1=41-9

2^x+1=32

2^x+1=2⁵

^x+1=5

^x=5-1

^x=4

^{Vậy x=4}

^{Chúc bạn học tốt:33}

mình nhầm phép tính a

xin lỗi bạn

1) 41 - 2^{x + 1} = 9

-2^{x + 1} = 9 - 41

-2^{x + 1} = -32

2^{x + 1} = 32

2^{x + 1} = 2⁵

x + 1 = 5

x = 5 - 1

x = 4

\(41-2^x+1=9\)

\(41-2^x=9-1=8\)

\(2^x=41-8=33\)

\(x=\sqrt{33}\)

\(a,210-5\left(x-11\right)=200\\ \Rightarrow5\left(x-11\right)=10\\ \Rightarrow x-11=2\\ \Rightarrow x=13.\\ b,\left(2x+1\right):7=2^2+3^2\\ \Rightarrow\left(2x+1\right):7=4+9\\ \Rightarrow\left(2x+1\right):7=13\\ \Rightarrow2x+1=91\\ \Rightarrow2x=90\\ \Rightarrow x=45.\\ c,450:\left[41-\left(2x-5\right)\right]=3^2.5\\ \Rightarrow450:\left[41-\left(2x-5\right)\right]=45\\ \Rightarrow41-\left(2x-5\right)=10\\ \Rightarrow2x-5=31\\ \Rightarrow2x=36\\ \Rightarrow x=18.\\ d,\left(5x-9\right).7+3=80\\ \Rightarrow\left(5x-9\right).7=77\\ \Rightarrow5x-9=11\\ \Rightarrow5x=20\\ \Rightarrow x=4.\)

a) \(210-5\left(x-11\right)=200\)

\(5.\left(x-11\right)=210-200\)

\(5.\left(x-11\right)=10\)

\(x-11=10:5\)

\(x-11=2\)

\(x=2+11\)

\(x=13\)

b) \(\left(2x+1\right):7=2^2+3^2\)

\(\left(2x+1\right):7=13\)

\(2x+1=13.7\)

\(2x=91-1\)

\(2x=90\)

\(x=90:2\)

\(x=45\)

c) \(450:\left[41-\left(2x-5\right)\right]=3^2.5\)

\(450:\left[41-\left(2x-5\right)\right]=45\)

\(\left[41-\left(2x-5\right)\right]=450:45\)

\(\left[41-\left(2x-5\right)\right]=10\)

\(2x-5=41-10\)

\(2x-5=31\)

\(2x=31+5\)

\(2x=36\)

\(x=36:2\)

\(x=18\)

d) \(\left(5x-9\right).7+3=80\)

\(\left(5x-9\right).7=80-3\)

\(5x-9=77:7\)

\(5x-9=11\)

\(5x=11+9\)

\(5x=20\)

\(x=20:5\)

\(x=4\)

a) \(x=\dfrac{25}{72}\)

b)\(x=-\dfrac{1}{4}\)

  \(x=\dfrac{3}{2}\)

c)\(x=\dfrac{5}{4}\) hoặc

  x \(=\dfrac{8}{5}\)

d và e chịu vì mk kg giỏi lắm về mũ 

f)\(x=-2\)

G)\(x=-\dfrac{5}{12}\)

Vì 4x=9y=12z

Chia cả 3 cho 36 ta được

\(\frac{x}{9}=\frac{y}{4}=\frac{z}{3}\)(và x-y-z=10)

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

\(\frac{x}{9}=\frac{y}{4}=\frac{z}{3}=\frac{x-y-z}{9-4-3}=\frac{10}{2}=5\)

=>x=5.9=45

y=5.4=20

z=5.3=15

1. 4(x+41)=400

<=>x+41=100

<=>x=59

2.11(x-9)=77

<=>x-9=7

<=>x=16

3.5(x-9)=350

<=>x-9=70

<=>x=79

4.2x-49=3.3²

<=>2x=3.3²+49

<=>2x=76

<=>x=38

5.200-(2x+6)=4³

<=>200-2x-6=64

<=>-2x=64-200+6

<=>-2x=-130

<=>x=65

1) 4(x+41)=400

      x+41=400:4

      x+41=100

         x=100-41

         x=59

2) 11(x-9)=77

        x-9=77:11

        x-9=7

          x=7+9

          x=16

3) 5(x-9)=350

      x-9=350:5

      x-9=70

         x=70+9

         x=79

4) 2x-49=3.3\(^2\)

   2x-49=3\(^3\)

   2x-49=27

         2x=27+49

          2x=76

            x=76:2

           x=38

5, 200-(2x+6)=4\(^3\)

   200-(2x+6)=64

          2x+6=200-64

           2x+6=136

                2x=136-6

                2x=130

                 x=130:2

                  x=65

đúng nha

thanks bn nhìu