\(2^x+2^{x+1}+2^{x+2}+2^{x+3}=480\)
\(\Leftrightarrow2^x+2^x.2+2^x.2^2+2^x.2^3=480\)
\(\Leftrightarrow2^x.\left(1+2+2^2+2^3\right)=480\)
\(\Leftrightarrow2^x.15=480\)
\(\Leftrightarrow2^x=32\)
\(\Leftrightarrow2^x=2^5\Rightarrow x=5\)
\(2^x+2^{x+1}+2^{x+2}+2^{x+3}=480.\)
\(2^x.1+2^x.2^1+2^x.2^2+2^x.2^3=480.\)
\(2^x.1+2^x.2+2^x.4+2^x.8=480.\)
\(2^x\left(1+2+4+8\right)=480.\)
\(2^x.15=480.\)
\(2^x=480:15.\)
\(2^x=32.\)
\(2^x=2^5\Rightarrow x=5\in N.\)
Vậy \(x=5.\)
NHỚ TK MK NHA
2^x+2^x+1+2^x+2+2^x+3=480
=> 2^x,(1+2+2^2+2^3)=480
=>2^x.15=480
=>2^x=480:15=32
=>2^x=2^5
=>x=5
.
Giúp mk bài này nhé
Tìm x
2^x+2^x+1+2^x+2+2^x+3=480
Toán lớp 6
Trần Minh Phong 31 phút trước (18:14)Báo cáo sai phạm
NHỚ TK MK NHA
2^x+2^x+1+2^x+2+2^x+3=480
=> 2^x,(1+2+2^2+2^3)=480
=>2^x.15=480
=>2^x=480:15=32
=>2^x=2^5
=>x=5
.
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Nam Nguyễn 32 phút trước (18:13)Báo cáo sai phạm
2x+2x+1+2x+2+2x+3=480.
2x.1+2x.21+2x.22+2x.23=480.
2x.1+2x.2+2x.4+2x.8=480.
2x(1+2+4+8)=480.
2x.15=480.
2x=480:15.
2x=32.
2x=25⇒x=5∈N.
Vậy x=5.
Đúng 0
Do Not Ask Why CTV 35 phút trước (18:10)Báo cáo sai phạm
2x+2x+1+2x+2+2x+3=480
⇔2x+2x.2+2x.22+2x.23=480
⇔2x.(1+2+22+23)=480
⇔2x.15=480
⇔2x=32
\(2^x+2^{x+1}+2^{x+2}+2^{x+3}=480\)
\(2^x.1+2^x.2+2^x.2^2+2^x.2^3=480\)
\(2^x.\left(1+2+2^2+2^3\right)=480\)
\(2^x.\left(1+2+4+8\right)=480\)
\(2^x.15=480\)
\(2^x=480:15=32=2^5\)
\(2^x=2^5\)
\(\Rightarrow x=5\)
2x+2x+1+2x+2+2x+3=480
->2x(1+2+22+23)=480
->2x.15=480
2x=480:15
2x=32=25
->x=5
Vây x=5
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