Question

Tìm x

\(2^{n+3}+2^n=144\)

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Answer 1

2ⁿ⁺³ + 2ⁿ = 144

2ⁿ . 2³ + 2ⁿ = 144

2ⁿ . ( 2³ + 1 ) = 144

2ⁿ . 9 = 144

2ⁿ = 144 : 9

2ⁿ = 16

2ⁿ = 2⁴

\(\Rightarrow\)n = 4

Answer 2

2^(n+3)+2^n=144

2^n×2^3+2^n×1=144

2^n×(2^3+1)=144

2^n×9=144

2^n=16

2^n=2^4

n=4