2: x=3

3: x=18

1) \(x=51\)

2) \(x=3\)

3) \(x=18\)

4) \(x=2\)

5) \(x=7\)

a,  10 x + 2 2 . 5 = 10 2

10x = 100–20

10x = 80

x = 8

b,  5 2 + 15 - x = 30

15–x = 5

x = 10

c,  2 2 . 5 2 - 25 + x = 40

100–(25+x) = 40

25+x = 60

x = 35

d,  7 2 x - 6 2 x = 13 . 2 3 - 26

49x–36x = 104–26

13x = 78

x = 6

Ta có: 2x(x – 5) – x(3 + 2x) = 26

      ⇔ 2 x 2  – 10x – 3x – 2 x 2  =26

      ⇔ - 13x = 26

      ⇔ x = - 2

1: =>\(5^{2x-3}=5^2\cdot3+5^2\cdot2=5^2\cdot5=5^3\)

=>2x-3=3

=>2x=6

=>x=3

2: \(41-2^{x+1}=9\)

=>\(2^{x+1}=32\)

=>x+1=5

=>x=4

3: =>\(4^{x+2}=65-1=64\)

=>x+2=3

=>x=1

\(5^{2x-3}-2.5^2=5^2.3\\ 5^{2x-3}=5^2.3+5^2.2\\ 5^{2x-3}=5^2.\left(3+2\right)\\ 5^{2x-3}=5^2.5\\ 5^{2x-3}=5^3\\ \Rightarrow2x-3=3\\ 2x=3+3\\ 2x=6\\ x=\dfrac{6}{2}\\ Vậy:x=3\)

\(41-2^{x+1}=9\\ 2^{x+1}=41-9\\ 2^{x+1}=32=2^5\\ \Rightarrow x+1=5\\ \Leftrightarrow x=5-1=4\\ ---\\ 65-4^{x+2}=2014^0\\ 65-4^{x+2}=1\\ 4^{x+2}=65-1\\ 4^{x+2}=64=4^3\\ \Rightarrow x+2=3\\ Vậy:x=1\)

Đáp án cần chọn là: D

Ta có: 2x(x – 5) – x(3 + 2x) = 26

      ⇔ 2x2 – 10x – 3x – 2x2 =26

      ⇔ - 13x = 26

      ⇔ x = - 2

\(2x\left(x-5\right)-x\left(3+2x\right)=26\)

\(\Leftrightarrow2x^2-10x-3x-2x^2=26\)

\(\Leftrightarrow-13x=26\)

\(\Leftrightarrow x=-2\)

Bài làm:

Ta có: \(2x\left(x-5\right)-x\left(3+2x\right)=26\)

\(\Leftrightarrow2x^2-10x-3x-2x^2-26=0\)

\(\Leftrightarrow-13x=26\)

\(\Rightarrow x=-2\)

2x( x - 5 ) - x( 3 + 2x ) = 26

<=> 2x² - 10x - 3x - 2x² = 26

<=> -13x = 26

<=> x = -2

2x(x-5) - x(3+2x) = 26

<=> 2x^2 -  10x - 3x - 2x^2 = 26

<=> -13x=26

<=> x = -2

2x(x-5) - x (3+2x) = 26 

=> 2x² - 10x - 3x - 2x² = 26

=> (2x² - 2x²) + (-10x - 3x) = 26

=>  -13x = 26

=> x = 26 : (-13) 

=> x = -2

2x(x-5)-x(3+2x)= 26

2x²-10x-3x-2x²= 26

            -13x        = 26

                  x        = -2