\(2.3^x=10.3^{12}+8.\left(3^3\right)^4\)

\(2.3^x=10.3^{12}+8.3^{12}\)

\(2.3^x=3^{12}.\left(10+8\right)\)

\(2.3^x=3^{12}.18\)

\(3^x=3^{12}.18:2\)

\(3^x=3^{12}.9\)

\(3^x=3^{12}.3^2\)

\(3^x=3^{14}\)

\(\Rightarrow x=14\)

2.3^x=10.3¹²+8.27⁴

2.3^x=10.3¹²+2³.3¹²

2.3^x=3¹².18

2.3^x=3¹².3².2

2.3^x=3¹⁴.2

=>x=14

\(\Rightarrow6x=5312\)

\(\Rightarrow x=5312:6\)

\(\Rightarrow x=885,3333333\)

tíc nha

\(2.3x=10.312+8.274\)

\(=2.3x=3120+2192\)

\(2.3x=5312\)

\(3x=5312:2\)

\(3x=2656\)

\(x=2656:3\)

\(x=\frac{2556}{3}\)

Sai

mình ghi thiếu thông cảm nha

\(2\cdot3^x=10\cdot3^{12}+8\cdot27^4\)

\(\Rightarrow2\cdot3^x=10\cdot3^{12}+8\cdot\left(3^3\right)^4\)

\(\Rightarrow2\cdot3^x=10\cdot3^{12}+8\cdot3^{12}\)

\(\Rightarrow2\cdot3^x=18\cdot3^{12}\)

\(\Rightarrow3^x=\dfrac{18\cdot3^{12}}{2}\)

\(\Rightarrow3^x=9\cdot3^{12}\)

\(\Rightarrow3^x=3^2\cdot3^{12}\)

\(\Rightarrow3^x=3^{14}\)

\(\Rightarrow x=14\)

......

Bài 1: Tìm x

a) Ta có: \(\left(7x-11\right)^3=2^5\cdot5^2+200\)

\(\Leftrightarrow\left(7x-11\right)^3=32\cdot25+200=1000\)

\(\Leftrightarrow7x-11=10\)

\(\Leftrightarrow7x=21\)

hay x=3

Vậy: x=3

b) Ta có: \(720:\left(41-\left(2x-5\right)\right)=2^3\cdot5\)

\(\Leftrightarrow720:\left(41-2x+5\right)=8\cdot5=40\)

\(\Leftrightarrow-2x+46=18\)

\(\Leftrightarrow-2x=18-46=-28\)

hay x=14

Vậy: x=14

c) Ta có: \(2\cdot3^x=10\cdot3^{12}+8\cdot27^4\)

\(\Leftrightarrow2\cdot3^x=10\cdot3^{12}+8\cdot3^{12}\)

\(\Leftrightarrow2\cdot3^x=18\cdot3^{12}\)

\(\Leftrightarrow3^x=\dfrac{18\cdot3^{12}}{2}=9\cdot3^{12}\)

\(\Leftrightarrow3^x=3^2\cdot3^{12}=3^{14}\)

hay x=14

Vậy: x=14

A (7x-11)³=2⁵.5²+200

    (7x-11)³=800+200

    (7x-11)³=1000

    (7x-11)³=10³

    7x-11=10

     7x=10+11

     7x=21

       x=21:7

       x=3

B 720:(41-(2x-5))=2³.5

   720:(41-(2x-5))=40

             41-(2x-5)=720:40

             41-(2x-5)=18

                    2x-5=41-18

                    2x-5=23

                       2x=23+5

                       2x=28

                         x=28:2

                         x=14

 C 2.3^x=10.3¹²+8.27⁴

    2.3^x=10.3¹²+8.(3^3.4)

      2.3^x=10.3¹²+8.3¹²

      2.3^x=3¹².(10+8)

     2.3^x=3¹².18

        3^x=( 3¹².18):2

        3^x=3¹².9

        3^x=3¹² .3²

        3^x=3¹⁴

          3^x=14

        x=14

`4^(x+2) .3^x = 16.12^5`

`4^(x+2) .3^x = 4^2 . (3.4)^5`

`4^(x+2) .3^x = 4^2 . 3^5. 4^5`

`4^(x+2) .3^x = 4^7 . 3^5`

`4^(x+2) .3^x = 4^(5+2) . 3^5`

`x=5`

Ta có:4^x+2.3^x=16.12⁵

     ⇔ 4^x+2.3^x=4¹⁷.3¹⁵

      ⇔ 4^x+2:4¹⁷.3^x:3¹⁵=1

     ⇔ 4^x-15.3^x-15=1

     ⇔ 12^x-15=12⁰

     ⇔ x-15=0

     ⇔ x=15

Ta có: \(4^{x+2}\cdot3^x=16\cdot12^5\)

\(\Leftrightarrow4^x\cdot16\cdot3^x=16\cdot12^5\)

\(\Leftrightarrow12^x=12^5\)

hay x=5

\(2.3^{x+3}=10.3^{12}+8.3^{12}\)

\(\Leftrightarrow2.3^{x+3}=18.3^{12}\)

\(\Leftrightarrow3^{x+3}=9.3^{12}\)

\(\Leftrightarrow3^{x+3}=3^{14}\)

\(\Leftrightarrow x+3=14\Leftrightarrow x=11\)

\(\Leftrightarrow2\cdot3^{x+3}=3^{12}\cdot18\\ \Leftrightarrow2\cdot3^{x+3}=3^{14}\cdot2\\ \Leftrightarrow x+3=14\Leftrightarrow x=11\)

2.3x+3=10.312+8.3122.3x+3=10.312+8.312

=2.3x+3=18.312⇔2.3x+3=18.312

=3x+3=9.312⇔3x+3=9.312

=3x+3=314⇔3x+3=314

\(2.3^x+5.3^x.3=153\Leftrightarrow2.3^x+15.3^x=153\)

\(\Leftrightarrow17.3^x=153\Leftrightarrow3^x=9\Leftrightarrow x=2\)

\(\Leftrightarrow2.3^x+5.3.3^x=153\)

\(\Leftrightarrow17.3^x=3^2.17\)

\(\Leftrightarrow3^x=3^2\Rightarrow x=2\)

Bạn xem lại đề

2.3^x=10.3¹²+8.27⁴

2.3^x=10.3¹²+2³.3¹²

2.3^x=3¹².18

2.3^x=3¹².3².2

2.3^x=3¹⁴.2

=>x=14

mỏi cả tay 

Ta có: \(4.3^{x+2}-2.3^{x+1}=810\)

\(4.3^{x+1}.3-2.3^{x+1}=810\)

\(2.3^{x+1}\left(2.3-1\right)=810\)

\(2.3^{x+1}.5=810\)

\(3^{x+1}=81=3^4\)

x+1=4

x=3

\(2.3^{x+1}=10.3^{12}+8.3^{12}\\ VP=\left(10+8\right).3^{12}=18.3^{12}=2.3^2.3^{12}\\ =2.3^{2+12}=2.3^{14}\\ VT=VP\\ \Rightarrow2.3^{x+1}=2.3^{14}\\ \Rightarrow x+1=14\\ Vậy:x=14-1=13\)

2.3ˣ⁺¹ = 10.3¹² + 8.3¹²

2.3ˣ⁺¹ = 3¹².(10 + 8)

2.3ˣ⁺¹ = 3¹².18

3ˣ⁺¹ = 3¹².18 : 2

3ˣ⁺¹ = 3¹².9

3ˣ⁺¹ = 3¹².3²

3ˣ⁺¹ = 3¹⁴

x + 1 = 14

x = 14 - 1

x = 13

\(2\cdot3^{x+1}=10\cdot3^{12}+8\cdot3^{12}\\\Rightarrow 2\cdot3^{x+1}=3^{12}\cdot(10+8)\\\Rightarrow 2\cdot3^{x+1}=3^{12}\cdot18\\\Rightarrow 2\cdot3^{x+1}=3^{12}\cdot3^2\cdot2\\\Rightarrow 3^{x+1}=3^{12}\cdot3^2\\\Rightarrow 3^{x+1}=3^{14}\\\Rightarrow x+1=14\\\Rightarrow x=14-1\\\Rightarrow x=13\\Vậy:x=13\)