a) \(M=\left\{x\inℕ|4x\le16\right\}\)

\(\Rightarrow M=\left\{x\inℕ|x\le4\right\}\)

\(\Rightarrow M=\left\{1;2;3;4\right\}\)

b) \(N=\left\{x\inℕ|15< 3x\le33\right\}\)

\(\Rightarrow N=\left\{x\inℕ|5< x\le11\right\}\)

\(\Rightarrow N=\left\{6;7;8;9;10;11\right\}\)

a) Ta có: \(M=\left\{x\in N|4x\le16\right\}\)

\(\Rightarrow4x\le16\)

\(\Rightarrow x\le4\)

Mà: \(x\in N\Rightarrow x\ge0\)

\(\Rightarrow M=\left\{0;1;2;3;4\right\}\)

b) Ta có: \(N=\left\{x\in N|15< 3x\le33\right\}\)

\(\Rightarrow15< 3x\le33\)

\(\Rightarrow\dfrac{15}{3}< x\le\dfrac{33}{3}\)

\(\Rightarrow5< x\le11\)

\(\Rightarrow N=\left\{6;7;8;9;10;11\right\}\)

a) n = 54

b) n = 5

c) n = 3

d) ko hiểu bạn ghi gì

e) n = 3

a) \(54=n\Rightarrow n=54\)

b)\(n^3=125\)

   \(n^3=5^3\Rightarrow n=5\)

c) \(10^n=1000\)

    \(10^n=10^3\Rightarrow n=3\)

d) \(33=243????\)

e)\(n^4=81\)

    \(n^4=3^4\Rightarrow n=4\)

\(~HT~\)

ơ lộn câu cuối n = 3 nha

\(5^{2x+1}=125\)

\(\Rightarrow5^{2x+1}=5^3\)

\(\Rightarrow2x+1=5\)

\(\Rightarrow2x=4\)

\(\Rightarrow x=2\)

\(5^{2x+1}=125\)

\(\Rightarrow5^{2x+1}=5^3\)

\(\Rightarrow2x+1=5\)

\(\Rightarrow2x=5-1\)

\(\Rightarrow2x=4\)

\(\Rightarrow x=4:2\)

\(\Rightarrow x=2\)

x = 2

(2x+1)³=125

(2x+1)³=5³

2x+1=5

2x=5-1

2x=4

x=4:2

x=2

a) 207-10x+7=84

10x=130

x=13

b)=> 3x-15=0

3x=15

x=5

c) 53+132-x=184

132-x=131

x=1

d) 85-5x=25

5x=60

x=12

e) x-4=12

x=16

a/ 1260: [207-(10x-7)]=15

               207-(10x-7)  =1260:15= 84     

                         10x-7= 207-84=123

                           10x=123+7=130

                            x= 130:10=13

b/1236.(3x-15)=0

             3x-15= 0:1236=0

             3x    =0+15=15

               x    =15:3=5

c/[53+(132-x)]:23=8

    53+(132-x)     =8.23=184

         132-x       =184-53=131

               x        =132-131=1

d/ 125-5(17-x)=100

           17-x= 100:(125-5)=5/6

           17-5/6=97/6

e/ x-24:6=12

    x-4=12

x=12+4=16

\(\left(x-1\right)^3=125\)

\(\left(x-1\right)^3=5^3\)

\(x-1=5\)

\(x=5+1\)

\(\Rightarrow x=6\)

(x - 1)³=125

(x - 1)³=5³

=>x-1 =5

    x    =5+1

=>x    =6

(x-1)³=125=5³

\(\rightarrow\)x-1=5

       x=6

a)

(2x-1)⁴ = 3⁴

=>2x-1 = 3

    2x     = 3+1

     2x     = 4

       x      = 2

b)

(3x-1)³ = 5³

=> 3x-1 = 5

      3x     = 5+1 

        3x     = 6

         x      = 2

c)

4^x-1 . 4²  = 4⁵

        4^x-1 = 4⁵ : 4²

        4^x-1 = 4³

=> x-1 = 3 

      x= 4

d)

3.3⁴  nhỏ hơn hoặc bằng 3^2x nhỏ hơn hoặc bằng 3³ . 3⁵

3⁵ nhỏ hơn hoặc bằng  3^2x  nhỏ hơn hoặc bằng 3⁸

=> 2x = 5 ; 6 ;7; 8

Nếu 2x = 5 thì x = 5:2 (loại)

Nếu 2x = 6 thì x = 3 ( thỏa mãn )

Nếu 2x = 7 thì x = 7: 2 ( loại)

Nếu 2x = 8 thì x = 4 ( thỏa mãn )

=> x= 3:4

a) \(\left(2x-1\right)^4=81\)

\(\left(2x-1\right)^4=3^4\)

\(\Rightarrow2x-1=3\)

\(\Rightarrow2x=4\)

\(\Rightarrow x=2\)

vay \(x=2\)

b) \(\left(3x-1\right)^3=125\)

\(\left(3x-1\right)^3=5^3\)

\(\Rightarrow3x-1=5\)

\(\Rightarrow3x=6\)

\(\Rightarrow x=2\)

vay \(x=2\)

c) \(4^{x-1}.16=1024\)

\(4^{x-1}=\frac{1024}{16}\)

\(4^{x-1}=64\)

\(4^{x-1}=4^3\)

\(\Rightarrow x-1=3\)

\(\Rightarrow x=4\)

vay \(x=4\)

d) \(3.81\le9^x\le27.243\)

\(3.3^4\le9^x\le3^3.3^5\)

\(3^5\le3^{2x}\le3^8\)

\(\Rightarrow5\le2x\le8\)

\(\Rightarrow\orbr{\begin{cases}2x\le8\\2x\ge5\end{cases}}\Rightarrow\orbr{\begin{cases}x\le4\\x\ge\frac{5}{2}\end{cases}}\Rightarrow\frac{5}{2}\le x\le8\)

   vay \(\frac{5}{2}\le x\le8\)

a)

\(\left(2x-1\right)^4=3^4\)

\(2x-1=3\)

\(2x=4\)

\(x=2\)

b)

\(\left(3x-1\right)^3=5^3\)

\(3x-1=5\)

\(3x=6\)

\(x=2\)

c)

\(4^{x-1}.4^2=4^5\)

\(\left(x-1\right)+2=4\)

\(x-1=2\)

\(x=3\)