\(\frac{6}{7x}=\frac{9}{11y}=\frac{2}{3z}\) như thế ak

ta có:6/7x=9/11y=2/3z=k suy ra x=7/6k; y=11/9k;z=3/2 k

ta có: 7/6k+11/9k+3/2k=350

35/9k=350

k=350:35/9=90

x=90x7/6105

y=90x11/9=110

z=90x3/2=135

a) 150 : [17 - (2x - 3)] = 350

=> 17 - (2x - 3) = \(\frac{150}{350}=\frac{3}{7}\)

=> 2x - 3 = \(17-\frac{3}{7}=\frac{116}{7}\)

=> 2x = \(\frac{116}{7}+3\)

=> 2x = \(\frac{137}{7}\)

=> x = \(\frac{137}{7}:2=\frac{137}{14}\)

b) 4 . [105 - (x - 9)] - 486 = 0

=> 4. [105 - (x - 9)] = 486

=> 105 - (x - 9) = 243/2

=> x - 9 = \(105-\frac{243}{2}=-\frac{33}{2}\)

=> x = \(-\frac{33}{2}+9=-\frac{15}{2}\)

c) 1000 - 2{600 - 4.[198 - 7.(21 - 7)]}.x = 200

=> 1000 - 2{600 - 4.[198 - 7.14]}.x = 200

=> 1000 - 2{600 - 4.[198 - 98].x = 200

=> 1000 - 2{600 - 4.100}.x = 200

=> 1000 - 2{600 -400}.x = 200

=> 1000 - 2.200.x = 200

=> 2.200.x = 800

=> 400.x = 800

=> x = 2

Câu 2 :

a) 350 : [19 - (7x - 3)]  = 350

=> 19 - (7x - 3) = 1

=> 7x - 3 = 18

=> 7x = 21

=> x = 3

b) 7.[109 - (x - 9)] - 420 = 0

=> 7.[109 - (x - 9)] = 420

=> 109 - (x - 9) = 60

=> x - 9 = 49

=> x = 49 + 9 = 58

c) 254 - 2{200 - 4.[90 - 7.(19 - 9)]}.x = 54

=> 254 - 2{200 - 4.[90 - 7.10]}.x = 54

=> 254 - 2{200 - 4[90 - 70]} . x= 54

=> 254 - 2{200 - 4.20} . x = 54

=> 254 - 2{200 - 80}.x = 54

=> 254 - 2.120 . x=  54

=> 2.120.x = 200

=> 240.x = 200

=> \(x=\frac{5}{6}\)

a) 5^{x + 1} - 2.5^x = 75

<=> 5^x.5 - 2.5^x = 75

<=> 5^x.3 = 75

<=> 5^x = 25

<=> 5^x = 5²

<=> x = 2

Vậy x = 2

b) 9^{x + 1} -  5.3^2x = 324

<=> (3²)^{x + 1} - 5.3^2x = 324

<=> 3^{2x + 2} - 5.3^2x = 324

<=> 3^2x.3² - 5.3^2x = 324

<=> 3^2x . 4 = 324

<=> 3^2x = 81

<=> 3^2x = 3⁴

<=> 2x = 4

<=> x = 2

Vậy x = 2

UIUYI

Thiếu đề không bạn? Tui nghĩ đề vậy nè:

\(9^{x+1}-5.3^{2x}=324\)

\(\Leftrightarrow9.9^x-5.9^x=324\)

\(\Leftrightarrow4.9^x=324\)

\(\Leftrightarrow9^x=81\)

\(\Leftrightarrow9^x=9^2\)

\(\Leftrightarrow x=2\)

Vậy .........

đủ đề mà

uk đè thiếu không bạn

\(\text{a)}350:\left[19-\left(7x-3\right)\right]=350\)

\(\Rightarrow19-\left(7x-3\right)=1\)

\(\Rightarrow19-7x+3=1\)

\(\Rightarrow-7x=-21\)

\(\Rightarrow x=3\)

\(\text{b)}7.\left[109-\left(x-9\right)\right]-420=0\)

\(\Rightarrow7\left(109-x+9\right)=420\)

\(\Rightarrow118-x=60\)

\(\Rightarrow x=58\)

\(\text{c)}252-2\left\{200-4\left[90-7.\left(19-9\right)\right]\right\}.x=4\)

\(\Rightarrow2\left\{200-4\left[90-7.10\right]\right\}.x=250\)

\(\Rightarrow\left[200-4\left(90-70\right)\right].x=125\)

\(\Rightarrow\left[200-4.20\right].x=125\)

\(\Rightarrow120x=125\)

\(\Rightarrow x=\frac{125}{120}=\frac{25}{24}\)

\(\text{Xin điểm ạ}\)

350:[19-(7x-3)]=350

[19-(7x-3)]=350:350

[19-(7x-3)]=1

(7x-3)=19-1

(7x-3)=18

7x=18+3

7x=21

x=21:7

x=3

vậy x=3

7.[109-(x-19)]-420=0

7.[109-(x-19)]=0+420

7.[109-(x-19)]=420

[109-(x-19)]=420:7

[109-(x-19)]=60

(x-19)=109-60

(x-19)=49

x=49+19

x=58

vậy x=58

254-2{200-4.[90-7.(19-9)]}.x=4

254-2{200-4.[90-7.10]}.x=4

254-2{200-4.[90-70]}.x=4

254-2{200-4.20}.x=4

254-2{200-80}.x=4

254-2.120.x=4

254-240.x=4

240.x=254-4

240.x=250

x=250:240

x=25/24

vậy x=25/24

9^x+1-5.3^2x=324

=>9^x.9-(3²)^x.5=324

=>9^x.9-9^x.5=324

=>9^x(9-5)=324

=>9^x.4=324

=>9^x=324:4

=>9^x=81

=>9^x=9²

=>x=2

vậy x=2

Chọn D

D

D

\(9^{x+1}-5.3^{2x}=324=>9^x.9-5.\left(3^2\right)^x=324=>\left(3^2\right)^x.9-5.\left(3^2\right)^x=324\)

\(=>3^{2x}.\left(9-5\right)=324=>3^{2x}=\frac{324}{4}=81=3^4=>2x=4=>x=2\)

vậy x=2

tick nhé