Question

`1/2 2^x + 4.2^x = 9 . 2^5`

Answer 1

`#Shii`

`1/2 2^x + 4.2^x = 9 . 2^5`

`=> 2^x ( 1/2 + 4 ) = 9 . 32`

`=> 2^x ( 1/2 + 8/2 ) = 9 . 32`

`=> 2^x . 9/2 = 9 . 32`

`=> 2^x = 9 . 32 : 9/2`

`=> 2^x = 9 . 32 . 2/9`

`=> 2^x = 288 . 2/9`

`=> 2^x = 576/9`

`=> 2^x = 64`

`=> 2^x = 2^6`

`=> x = 6`

Answer 2

1/2 . 2^x + 4 . 2^x = 9 . 2⁵

2^x.(1/2 + 4) = 9.2⁵

2^x . 9/2 = 9 . 2⁵

2^x = 9 . 2⁵ : 9/2

2^x = 2⁶

x = 6

 

Answer 3

`1/2 . 2^x + 4 . 2^x = 9 . 2^5`

`=>(1/2 +4) . 2^x = 9 . 32`

`=> (1/2+8/2) . 2^x = 288`

`=> 9/2 . 2^x = 288`

`=> 2^x = 288 : 9/2`

`=> 2^x = 64`

`=> 2^x = 2^6`

`=> x=6`

Vậy `x=6`