Question

2^x+2^x+1+2^x+2+2^x+3=480. Tìm x.

Answer 1

\(2^x+2^{x+1}+2^{x+2}+2^{x+3}=480\)

\(2^x+2^x.2+2^x.4+2^x.8=480\)

\(2^x.\left(1+2+4+8\right)=480\)

\(2^x.15=480\)

\(2^x=32\)

\(2^x=2^5\)

\(x=5\)

Vậy \(x=5\)

Answer 2

2^x+2^x+1+2^x+2+2^x+3=480

\(\Leftrightarrow2^x\left(1+2+2^2+2^3\right)=480\)

\(\Leftrightarrow2^x.15=480\)

\(\Leftrightarrow2^x=32=2^5\)

\(\Leftrightarrow x=5\)

Answer 3

minh chiu

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bye

hihi

Answer 4

2^x + 2^x+1 + 2^x+2 + 2^x+3 = 480

2^x . 1 + 2^x . 2 + 2^x . 2² + 2^x . 2³ = 480

2^x . ( 1 + 2 + 2² + 2³ ) = 480

2^x . 15 = 480

2^x = 480 : 15

2^x = 32

2^x = 2⁵

=> x = 5