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.(1 + 2 + 4 + 8) = 480

=> 2^x.15 = 480

=> 2^x = 480 : 15

=> 2^x = 32

=> 2^x = 2⁵

=> x = 5

Answer 2

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

\(2^x\cdot1+2^x\cdot2+2^x\cdot4+2^x\cdot8=480\)

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

\(2^x\cdot15=480\)

\(2^x=32\)

do đó x = 5

Answer 3

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

\(\Rightarrow2^x\times\left(1+2+4+8\right)=480\)

\(\Rightarrow2^x\times15=480\)

\(\Rightarrow2^x=480:15\)

\(\Rightarrow2^x=32\)

\(\Rightarrow2^x=32=2^5\)
\(\Rightarrow x=5\)

Answer 4

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

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

\(2^x\cdot15=480\)

\(2^x=480\text{ : }15\)

\(2^x=32\)

\(2^x=2^5\)

\(\Rightarrow\text{ }x=5\)

Answer 5

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

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

\(2^x.15=480\)

\(2^x=480:15\)

\(2^x=32\)

\(2^x=2^5\)

\(\Rightarrow x=5\)

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