\(2^4.x-3.5x=5^2-2^4\)

\(x\left(16-15\right)=25-16\)

\(x=9\)

\(a,3.5^{x+1}-100=-25\\ 3.5^{x+1}=-25+100\\ 3.5^{x+1}=75\\ 5^{x+1}=75:3\\ 5^{x+1}=25\\ 2^{x+1}=5^2\\ x+1=2\\ x=2-1\\ x=1\)

\(b,4x-26+2x=28\\ 4x+2x-26\\ 6x-26=28\\ 6x=28+26\\ 6x=54\\ x=54:6\\ x=9\)

\(2x^3.5x^2+2x=\left(10x^5+2x\right):\left(2x-1\right)\)

\(=5x^4+\dfrac{5}{2}x^3+\dfrac{5}{4}x^2+\dfrac{5}{8}x+\dfrac{11}{16}\)(dư \(\dfrac{11}{16}\))

16x - 3,5x = 9

=> x( 16 - 3,5 ) = 9

=> 12,5x = 9

=> x = 9 : 12,5 

X = 0,72

bạn hiểu sai đề bài rồi 

\(\Leftrightarrow3\cdot5^x=75\Leftrightarrow5^x=25=5^2\Leftrightarrow x=2\)

\(\Leftrightarrow3.5^x=75\\ \Leftrightarrow5^x=25\\ \Leftrightarrow5^x=5^2\\ \Leftrightarrow x=2\)

x=2

1) 2⁴.x - 3.5x = 5² - 2⁴

16x - 15x = 25 - 16

x = 9

2) 3².x + 2²x = 26.2² - 13

9x + 4x = 26.4 - 13

13x = 104 - 13

13x = 91

x = 91 : 13

x = 7

5) 6²x - 5²x = 11.2 - 11

36x - 25x = 22 - 11

11x = 11

x = 11 : 11

x = 1

3) 5²x - 2⁴x = 3⁴ - 16.3²

25x - 16x = 81 - 16.9

9x = -63

x = -63 : 9

x = -7

6) 7²x - 6²x = 13.2³ - 26

49x - 36x = 13.8 - 26

13x = 104 - 26

13x = 78

x = 78 : 13

x = 6

4) 7²x - 14x = 7².10 - 70

49x - 14x = 49.10 - 70

35x = 490 - 70

35x = 420

x = 420 : 35

x = 12

Cảm ơn bạn nha

\(3.5x\left(-4,32+15,16\right)=17,5\)

\(\Leftrightarrow5x=17.5:5:10.84\)

\(\Leftrightarrow5x=\dfrac{175}{542}\)

hay \(x=\dfrac{35}{542}\)