a) (3x-1)³ = 5³

=> 3x-1=5

3x=5+1

3x=6

=> x=2

\(a,\Rightarrow3x-1=5\\ \Rightarrow3x=6\\ \Rightarrow x=2\\ b,\Rightarrow15\left(x+1\right)=200-35=165\\ \Rightarrow x+1=11\\ \Rightarrow x=10\\ c,\Rightarrow x\inƯC\left(18,54\right)=Ư\left(18\right)=\left\{1;2;3;6;9;18\right\}\)

a) 2 . x + 12 = 36

2 . x = 36 - 12

2 . x = 24

x = 24 : 2

x = 12

Vậy x = 12

b) (x + 21)  : 8 + 12 = 21

( x + 21 ) : 8 = 21 - 12

( x + 21 ) : 8 = 9

x + 21 = 9 . 8

x + 21 = 72

x = 72 - 21

x = 51

Vậy x = 51

c) (3 . x - 18) . (x - 9) = 0

\(\Rightarrow\begin{cases}3.x-18=0\\x-9=0\end{cases}\)

\(\Rightarrow\begin{cases}3.x=18\\x=0+9\end{cases}\)

\(\Rightarrow\begin{cases}x=18:3=6\\x=9\end{cases}\)

Vậy \(x\in\left\{6;9\right\}\)

a)

\(2x+12=36\)

\(\Rightarrow2\left(x+6\right)=36\)

\(\Rightarrow x+6=18\)

=> x = 12

Vậy x = 12

b)

\(\left(x+21\right):8+12=21\)

\(\Rightarrow\left(x+21\right):8=9\)

\(\Rightarrow x+21=72\)

=> x = 51

Vậy x = 51

c)

\(\left(3x-18\right)\left(x-9\right)=0\)

\(\Rightarrow3\left(x-6\right)\left(x-9\right)=0\)

\(\Rightarrow\left(x-6\right)\left(x-9\right)=0\)

\(\Rightarrow\left[\begin{array}{nghiempt}x-6=0\\x-9=0\end{array}\right.\)

\(\Rightarrow\left[\begin{array}{nghiempt}x=6\\x=9\end{array}\right.\)

Vậy x = 6 ; x = 9

(8 x 18 -5 x 18 -18 x3) x y + 2 x y =8 x 7 + 2

<=>144 x y -90 x y -54 x y + 2 x y = 58

<=>2 x y = 58

<=> y = 29

Vậy y = 29

Tìm y biết : 
(8 x 18 - 5 x 18 - 18 x 3) x y + 2 x y = 8 x 7 + 2

                    [ 18 x ( 8 - 5 - 3 ) ] x y = 56 + 2

                    [ 18 x ( 8 - 5 - 3 ) ] x y = 58

                                 ( 18 x 0 ) x y = 58

                                 0 x y + 2 x y = 58

                                            2 x y = 58 

                                                  y = 58 : 2

                                                  y = 29

      (8 x 18 -5 x 18 -18 x3) x y + 2 x y =8 x 7 + 2

<=>144 x y -90 x y -54 x y + 2 x y = 58

<=>2 x y = 58

<=> y = 29

vậy y = 29

( mình ko chép lại đề bài đâu nha ,giải lun đó)

[18x(8-5-3)]xy+2xy=56+2

(18x0)xy+2xy=58

0xy+2xy=58

2xy=58

  y=58:2=29

tick cho mình nha

Bài 2:

Ta có: \(5^x.5^{x+2}\le10^{18}\div2^8\)

\(\Rightarrow5^{x+x+2}\le\left(10\div2\right)^{18}\)

\(\Rightarrow5^{2x+2}\le5^{18}\)

\(\Rightarrow2x+2\le18\Rightarrow2x\le16\Rightarrow x\le8\)

\(\Rightarrow x\in\left\{0;1;2;3;4;5;6;7;8\right\}\)

Bài 3:

Ta có: \(S=1+2+2^2+...+2^9=\left(2+2^2+...+2^{10}\right)-\left(1+2+2^2+...+2^9\right)\)

\(=2^{10}-1\left(1\right)\)

Ta có: \(5\times2^8=\left(2^2+1\right)\times2^8=2^{10}+2^8\left(2\right)\)

Từ (1) và (2) \(\Rightarrow S< 5\times2^8\)

Các bạn ơi giúp mình với

Ta có 5^(x+x+1+x+2)=10¹⁸÷2¹⁸

=>5^(3x+3)=(10÷2)¹⁸

^=>5^(3x+3)=5¹⁸

^=>3x+3=18

=>3x=18-3

=>3x=15

=>x=15÷3

=>x=5

Vậy với x=5 thì 5^x×5^x+1×5^x+2=100....0:2¹⁸(18 c/s 0)