a: \(16^x< 32^4\)

=>\(2^{4x}< 2^{20}\)

=>4x<20

=>\(x< 5\)

=>0<=x<5

=>\(x\in\left\{0;1;2;3;4\right\}\)

b: \(9< 3^x< 81\)

=>\(3^2< 3^x< 3^4\)

=>2<x<4

=>x=3

c: \(25< 5^x< 125\)

=>\(5^2< 5^x< 5^3\)

=>2<x<3

mà x là số tự nhiên

nên \(x\in\varnothing\)

Ta có: \(5^x\cdot5^{x-1}=125\)

\(\Leftrightarrow5^x\cdot\dfrac{5^x}{5}=125\)

\(\Leftrightarrow25^x=625\)

hay x=2

\(4.2^x-3=125\\ \Rightarrow4.2^x=128\\ \Rightarrow2^x=32\\ \Rightarrow2^x=2^5\\ \Rightarrow x=5\)

5^{2x - 3} = 125

<=> 5^{2x - 3} = 5³

<=> 2x - 3 = 3

<=> x = 3

Bn thử sẽ bt đúng hay sai nhé

\(a.12+2x=6^3:6^2\\ 12+2x=6\\ 2x=12-6\\ 2x=6\\ x=6:2\\ x=3\)

\(b.48:x+17=33\\ 48:x=33-17\\ 48:x=16\\ x=48:16\\ x=3\)

\(c.\left(9x+2\right).5+28=83\\ \left(9x+2\right).5=83-28\\ \left(9x+2\right).5=55\\ 9x+2=55:5\\ 9x+2=11\\ 9x=11-2\\ 9x=9\\ x=9:9\\ x=1\)

\(d.187-2.\left(x+5\right)=125\\ 2.\left(x+5\right)=187-125\\ 2.\left(x+5\right)=62\\ x+5=62:2\\ x+5=31\\ x=31-5\\ x=26\)

a) 12+2x=6³:6²

     12+2x=6

           2x=6-12

           2x=-6

              x= -6:2

             x= -3

vậy x= -3

9-25=(7-x)-(25+7)

( 7 - x ) - ( 25 + 7 ) = 9 - 25

( 7 - x ) - 32 = - 16

     7 - x      = ( - 16 ) + 32 

      7 - x     = 16

           x     = 7 - 16

           x     = - 9

Vậy x = - 9 

9 - 25 = ( 7 - x ) - ( 25 + 7 )

x = 7 - 25 - 7 - 9 + 25

x = ( 7 - 7 ) + ( 25 - 25 ) -9

x =  0  + 0 - 9

x= - 9

=> x= - 9 

Vậy x = - 9

25 x 35 + 25 x 65

= 25 x (35 + 65)

= 25 x 100

= 2500

25 x 35 + 25 x 65

=25 x (35 + 65 )

=25 x 100

=2500

kb nha

2500 k và kết bạn nha

 $0,25\times 62,8+36,2\times \frac{1}{4}+25\%$

$=0,25\times 62,8+36,2\times (1:4)+\frac{25}{100}$

$=0,25\times 62,8+36,2\times 0,25+\frac{1}{4}$

$=0,25\times (62,8+36,2)+(1:4)$

$=0,25\times 99+0,25$

$=0,25\times (99+1)$

$=0,25\times 100$

$=25$

Bài làm

-2x - ( x - 7 ) = 34 - ( -x + 25 ).

=> ( -2x ) - x + 7 = 34 + x - 25

=> -2x - x - x = 34 - 25 - 7

=> -4x = 2

=> x = 2/-4

=> x = -1/2

Vậy x = -1/2

\(-2x-\left(x-17\right)=34-\left(-x+25\right)\)

\(-2x-x+17=34+x-25\)

\(x-x-x=34+2-25\)

\(-3x=11\)

\(x=-\frac{11}{3}\)ko chắc :v 

-2x-(x-17)=34-(-x+25)

<=> -2x-x+17=3x+x-25

<=> -3x+17=4x-25

<=> -3x-4x=-25-17

<=> -7x=-42

<=> x=6

Vậy x=6