Question

2 ^ -1 . 2^n + 4 . 2^n = 9 . 2^5

Answer 1

2^-1.2ⁿ+4.2ⁿ = 9.2⁵

=> 2^-1.2ⁿ + 2².2ⁿ = 9.2⁵ 

=> (2^-1 + 2²)2ⁿ = 9.2⁵

=> \(\frac{9}{2}.2^n=9.2^5\)

=> 9.2ⁿ-1 = 9.2⁵

=> 2^n-1 = 2⁵

=> n-1 = 5

=> n = 6

Answer 2

2^-1. 2^n + 4. 2^n = 9. 2^5

0,5.2^n+4.2^n=9.32

0,5.2^n+4.2^n=288

2^n(0,5+4)=288

2^n.4,5=288

2^n=64

2^n=2^6

=> n=6

 

Answer 3

Nguyễn Hải Nam ơi, tick cho mk nhé, thanksss...!