`3^(x+1) +3^x =36`

`3^x( 3^1 +1) =36`

`3^x * (3+1) =36`

`4*3^x =36`

`3^x =36/4 =9`

`3^=3^2`

`=> x=2`

Ta có: 

\(A=2020^{2023}-2020^{2022}=2020^{2022}\left(2020-1\right)=2019.2020^{2022}\\ B=2020^{2022}-2020^{2021}=2020^{2021}\left(2020-1\right)=2019.2020^{2021}\)

\(A-B=2019.2020^{2022}-2019.2020^{2021}=2019.2020^{2021}\left(2020-1\right)>0\\ \Rightarrow A>B\)

A=20202023−20202022=20202022(2020−1)=2019.20202022B=20202022−20202021=20202021(2020−1)=2019.20202021

A-B=2019.2020^{2022}-2019.2020^{2021}=2019.2020^{2021}\left(2020-1\right)>0\\ \Rightarrow A>BA−B=2019.20202022−2019.20202021=2019.20202021(2020−1)>0⇒A>B

`(x-4)^3 :2^5 = 16`

`(x-4)^3 = 16 *2^5 = 16* 32`

`(x-4)^3 = 512`

`(x-4)^3 = 8^3`

`x-4 =8`

`x= 8+4=12`

\(\left\{132-\left[116-\left(16-8\right)\right]:2\right\}.5\)

\(=\left\{132-\left[116-8\right]:2\right\}.5\)

\(=\left\{132-108:2\right\}.5\)

\(=390\)

{ 132 -  [116 - ( 16 - 8 )] : 2 } . 5

={ 132 -  [116 - ( 8 )] : 2 } . 5

={ 132 -  [108 )] : 2 } . 5

={ 132 -  54 } . 5

=78 .5

=390

(10\100)

giúp em đi ạ

\(5^6:5^4+3.3^2-80\)

\(=5^2+27-80\)

\(=25+27-80=-28\)

x=3

\(3.5^x-8=367\)

\(\Leftrightarrow3.5^x=375\)

\(\Leftrightarrow5^x=125\)

\(\Leftrightarrow x=3\)

`4^3 .125 - 125 . 5^2`

`= 64* 125 - 125* 25`

`= (64-25) * 125`

`= 39*125`

`=4875`

4^3 .125 - 125 . 5^2

= 125.(4^3 - 5^2)

=125.39=4875

x=7 nha

chúc bạn học tốt

\(125-5\left(3x-1\right)=25\)

\(5\left(3x-1\right)=100\)

\(3x-1=20\)

\(3x=21\)

\(x=7\)

Đề dạng này bạn phải ghi là viết thành dạng lũy thừa cho hợp lí nhé.

\(3.2.6.36=6.6.6^2=6^{1+1+2}=6^4\)