a)Ta có 10- 2(x+3)= 5(x-2)

        10 - 2x-6=  5x-10

            14= 7x

             x = 2

b)  Ta có :              3^x +3^x+1+3^x+2=  351

                             3^x+3^x.3+3^x.3²=351

                            3^x(1+3+3²)=351

                             3^x.13=351

                               3^x=27

                                x=  3

cau 1: x=2

cau 2: x=3

ung ho nha cac ban ^_^

a)2^x=64

2^x=2⁶

=>x=6

Vậy x =6

b)3^x-1=81

3^x-1=3⁴

=>x-1=4

x=1+4

x=5

Vậy x=5

2^X+2^X+3=144

\(\Rightarrow2^X.1+2^X.2^3=144\)

\(\Rightarrow2^X.\left(1+8\right)=144\)

\(\Rightarrow2^X.9=144\)

\(\Rightarrow2^X=144:9\)

\(\Rightarrow2^X=16\)

\(\Rightarrow X=4\)

Vậy x=4

Thank you very much !

a, \(343\text{ : }\left(2^3-2^2+3^2\cdot x\right)=7\)

\(343\text{ : }\left(8-4+9\cdot x\right)=7\)

\(343\text{ : }\left(4+9\cdot x\right)=7\)

\(4+9\cdot x=343\text{ : }7\)

\(4+9\cdot x=49\)

\(9\cdot x=49-4\)

\(9\cdot x=45\)

\(x=45\text{ : }9\)

\(x=5\)

b, \(2^{1+2}+2^{x+1}-2^x=160\)

\(2^3+2^x\left(2-1\right)=160\)

\(8+2^x\cdot1=160\)

\(2^x=160-8\)

\(2^x=152\)

\(2^x=2^9\)

\(\Rightarrow\text{ }x=9\)

a) \(A=2+2^2+2^3+...+2^{2019}\)

\(\Rightarrow2A=2^2+2^3+...+2^{2020}\)

\(\Rightarrow2A-A=\left(2^2+...+2^{2020}\right)-\left(2+...+2^{2019}\right)\)

\(\Rightarrow A=2^{2020}-2\)

Ta có: \(A+2=2^{x+10}\)

\(\Leftrightarrow2^{2020}-2+2=2^{x+10}\)

\(\Leftrightarrow2^{2020}=2^{x+10}\)

\(\Leftrightarrow2020=x+10\)

\(\Leftrightarrow x=2010\)

b)  Ta có: \(A+2=2^{2020}=\left(2^{1010}\right)^2\)là số chính phương 

XÉT:\(A=2+2^2+2^3+...+2^{2019}\)

\(\Leftrightarrow2A=2^2+2^3+...+2^{2019}+2^{2020}\)

\(\Leftrightarrow2A-A=2^{2020}-2\)

\(\Leftrightarrow A=2^{2020}-2\)

\(\Rightarrow A+2=2^{2020}-2+2=2^{2020}\)LÀ SỐ CHÍNH PHƯƠNG

MÀ\(a+2=2^{x+10}\)

\(\Leftrightarrow2^{x+10}=2^{2020}\)

\(\Leftrightarrow x+10=2020\Leftrightarrow x=2010\)

a) 2^x*(1+2+4+8) = 480

     2^x*15           = 480

     2^x                      = 480/15

      2^x                = 32

=>   x                 = 5.

b) Lười giải quá bạn ơi, thông cảm.

a/  8.6+288:(X-3)²=50

48+288:(x-3)²=50

288:(x-3)²=50-48=2

(x-3)²=288:2=144

(x-3)²=12²

x-3=12

x=12+3=15

b/ (x² - (6²-(8²-9.7)²- 5.3)³= 1

(x² - (6²-(64-9.7)²- 5.3)³= 1

(x² - (6²-(64-63)²- 5.3)³= 1

(x² - (6²-1²- 5.3)³= 1

(x² - (36-1- 15)³= 1

x² - 20³= 1

x² - 8000= 1

x²=1+8000=8001

x²=................(de sai

b) 

{ x² - [ 6² - ( 8² - 9.7)³ - 7.5]³ - 5.3 }³ = 1

{ x² + [ 36 - (64 - 63)³ - 35]³ - 15}³ = 1

[ x² - ( 36 - 1³ - 35 ) - 15 ]³ = 1

[ x² - ( 36 - 1 - 35 ) - 15]³ = 1

[ x² - ( 35 - 35 ) - 15]³ = 1

[ x² - 0 - 15]³ = 1

( x² - 15 )³ = 1

<=> ( x² - 15)³ = 1³

=> x² - 15 = 1

<=> x² = 16

=> x = 4