a) 5.5^x = 625

=> 5^x+1 = 5⁴

=> x + 1 = 4

=> x = 4 - 1

=> x = 3

Vậy x = 3

b) 8(x + 25) - 155 = 181

=> 8(x + 25) = 181 + 155

=> 8(x + 25) = 336

=> x + 25 = 336 : 8

=> x + 25 = 42

=> x = 42 - 25

=> x = 17

Vậy x = 17

c) (x - 9)⁴ = (x - 9)²

=> (x - 9)⁴ - (x - 9)² = 0

=> (x - 9)².[(x - 9)² - 1] = 0

\(\Rightarrow\left[\begin{array}{nghiempt}\left(x-9\right)^2=0\\\left(x-9\right)^2-1=0\end{array}\right.\)\(\Rightarrow\left[\begin{array}{nghiempt}x-9=0\\\left(x-9\right)^2=1\end{array}\right.\)\(\Rightarrow\left[\begin{array}{nghiempt}x-9=0\\x-9=1\\x-9=-1\end{array}\right.\)\(\Rightarrow\left[\begin{array}{nghiempt}x=9\\x=10\\x=8\end{array}\right.\)

Vậy \(\left[\begin{array}{nghiempt}x=9\\x=10\\x=8\end{array}\right.\)

a)5*5^x=625

\(\Rightarrow5^{x+1}=625\)

\(\Rightarrow5^{x+1}=5^4\)

\(\Rightarrow x+1=4\)

\(\Rightarrow x=3\)

b)8(x+25)-155 =181

\(\Rightarrow8\left(x+25\right)=336\)

\(\Rightarrow x+25=42\)

\(\Rightarrow x=17\)

c) ( x-9)⁴ = ( x-9)²

\(\Rightarrow\left(x-9\right)^4-\left(x-9\right)^2=0\)

\(\Rightarrow\left(x-9\right)^2\left[\left(x-9\right)^2-1\right]=0\)

\(\Rightarrow\left[\begin{array}{nghiempt}\left(x-9\right)^2=0\\\left(x-9\right)^2-1=0\end{array}\right.\)

\(\Rightarrow\left[\begin{array}{nghiempt}x-9=0\\x-9=\pm1\end{array}\right.\)

\(\Rightarrow\left[\begin{array}{nghiempt}x=9\\x=10\\x=8\end{array}\right.\)

\(a,5.5^x=625\Rightarrow5^x=125\Rightarrow5^x=5^3\Rightarrow x=3\)

\(\text{b) 8(x+25)-155 =181}\Rightarrow8\left(x+25\right)=336\Rightarrow x+25=42\Rightarrow x=17\)

cái còn lại tương tự thôi bạn

2x - 55 = 305

2x  = 305 +55

2x  = 360

  x = 360:2

  x = 180

b) (x + 25 ) + 155 = 181

x  + 25 = 181+155

x  + 25 = 356

        x = 356 - 25

        x = 331

k mình nha

Chúc bạn học giỏi

Mình cảm ơn bạn nhiều

[ ( x + 32 ) - 17 ] . 2 + 8 = 50

[ ( x + 32 ) - 17 ] . 2 = 50 - 8

[ ( x + 32 ) - 17 ] . 2 = 42

( x + 32 ) - 17 = 42 : 2 

( x + 32 ) - 17 = 21

x + 32 = 21 + 17

x + 32 = 38

x = 38 - 32

x = 6

Vậy x = 6

=))

Ta có:

     ( x + 1 ) + ( x + 4 ) + ( x + 7 ) +......+ ( x + 28 ) = 155

=> x + 1 + x + 4 + x + 7 + ...... + x + 28 = 155

=> ( x + x + x +....+ x ) + ( 1 + 4 + 7 +.....+ 28 ) = 155

=> 10x + 145 = 155

=> x = ( 155 - 145 ) : 10

=> x = 1 

vậy x =1 

( x + x + ... +  x ) + ( 1 + 4 + 7 + ... + 28 ) = 155

10 x + ( 1 + 4 + 7 + ... + 28 ) = 155

10 x + 145 = 155 

10 x = 155 - 145

10x = 10 

 x = 10  : 10 

=> x = 1

\(\left(3-x\right)^2+\frac{-9}{25}=\frac{2}{5}-\frac{8}{5}\)

\(\Rightarrow\left(3-x\right)^2+\frac{-9}{25}=\frac{-6}{5}\)

\(\Rightarrow\left(3-x\right)^2=\frac{-6}{5}+\frac{9}{25}\)

\(\Rightarrow\left(3-x\right)^2=\frac{-30}{25}+\frac{9}{25}\)

\(\Rightarrow\left(3-x\right)^2=\frac{-21}{25}\)

..đến đey thì có vấn đề =="

bạn ơi bài toán có sai đề bài ko nếu ko sai thì mình nghĩ lại

Mk đang tắc chỗ đó đấy

Dù sao cũng Thanks bạn nhé

8.x = 7,8.x + 25

8.x - 7,8.x = 25

x. ( 8 - 7,8 ) = 25

x . 0,2 = 25

x        = 25 : 0,2

x        = 125

8x-7,8x=25

x(8-7,8)=25

x . 0,2=25

x =25:0,2

x =125

8.x=7,8.x+25
8.x-7,8.x=25(chuyển vế)
x.(8-7,8)=25
x.0,2    =25
x         =25:0,2
x         =125
đúng 100% nha

\(a,\\115:y\times4,8=30\\115:y=30:4,8\\115:y=6,25\\y=115:6,25\\y=18,4\\---\\b,\\1,75\times y:16,8=1,25\\1,75\times y=1,25\times16,8\\1,75\times y=21\\y=21:1,75\\y=12\)

thằng thế anh lớp cố thủy nè

mày chết tao mách cô thủy

a.156*75+25*150

=156*25*3+25*150

=25*(156*3+150)

=25*618

=15450

b,791*101-791

=791*101-791*1

=791*(101-1)

=791*100

=79100

c,2*15*4*25

=(2*15)*(4*25)

=30*100

=3000

\(794\times101-794\)

\(=794\times\left(101-1\right)\)

\(=794\times100\)

\(=79400\)

\(2\times15\times4\times25\)

\(=\left(2\times15\right)\times\left(4\times25\right)\)

\(=30\times100\)

\(=3000\)

Ta có

(x+1) + (x+4) + (x+7) + ...+ (x+28) =155

=) x+1+x+4+x+7+...+x+28 =155

=)(x+x+x+...+x)+(1+4+7+...+28)=155

=)10x + 145 = 155

=)10x = 10

=) x = 10/10

=) x =1
 

có 10 số hạng

vậy = 10x + 1 + 4 + 7+ ...  + 28

=10x + (1 + 28) * 10 : 2

=10x + 145

mà 10x + 145 = 155

=> 10x = 10

=> x = 1

A+1+A+4+A+7+A+10+A+13+A+16+A+19+A+22+A+25+A+28=155

A+A+A+A+A+A+A+A+A+A+(1+4+7+10+13+16+19+22+25+28)=155

Ax10+ 145 = 155

      Ax10    = 155-145

      Ax10     =10

           A      =10:10

             A     =1