Question

1/2.2^x+4.2^x=9.2^5

Answer 1

\(\Leftrightarrow2^x\cdot\dfrac{9}{2}=9\cdot2^5\)

\(\Leftrightarrow2^x=2^6\)

=>x=6

Answer 2

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

`[57]`

`2^x . 9/2 = 9 . 2^5`

`<=> 2^(x-1) . 9 = 2^5 . 9`

`<=> x - 1 = 5`

`<=> x = 6`

Answer 3

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

`=> 2^x . (1/2 + 4) = 288`

`=> 2^x . 9/2 = 288`

`=> 2^x       = 288 : 9/2`

`=> 2^x       = 64`

`=> 2^x        = 2^6`

`=> x             =6`

Vậy `x=6`