2x-2 - 3.2x=-88
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Lời giải:
$2^x+4.2^{x+1}+3.2^{x+2}=92$
$2^x+8.2^x+12.2^x=92$
$2^x(1+8+12)=92$
$2^x.21=92$
$2^x=\frac{92}{21}$ không là số tự nhiên. Đề có vẻ sai.
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\(2x-3-3\cdot2x=-92\\\Rightarrow2x-3-6x=-92\\\Rightarrow2x-6x=-92+3\\\Rightarrow-4x=-89\\\Rightarrow x=-89:(-4)\\\Rightarrow x=\dfrac{89}{4}\)
2x – 3 – 3.2x = – 92.
2x-3-6x =-92
2x-6x =(-92)-3
2x-6x =-89
-4x =-89
x =(-89):(-4)
x =22.25
vậy x=22.25
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2\(^{x-3}\) -3.2\(^x\) = -92
2\(^{x-3}\).(1 - 3.23) = (-92)
2\(^{x-3}\).(-23) = (-92)
2\(^{x-3}\) = (-92) : (-23)
2\(^{x-3}\) = 4
2\(^{x-3}\) = 22
\(x-3\) = 2
\(x\) = 2 + 3
\(x\) = 5
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\(\Leftrightarrow2^x\cdot8-3\cdot2^x\cdot2=32\)
=>x+1=5
hay x=4
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\(2^{x-2}-3.2^x=-88\)
\(\Rightarrow2^x:2^2-3.2^x=-88\)
\(\Rightarrow2^x.\left(\dfrac{1}{4}-3\right)=-88\)
\(\Rightarrow\)\(2^x.\left(-2\dfrac{3}{4}\right)=-88\)
\(\Rightarrow\)\(2^x=\)32
=> x=5
\(2^{x-2}-3.2^x=-88\)
\(2^x.2^{-2}-3.2x=-88\)
\(2^x.\left(2^{-2}-3\right)\) =-88
\(2^x.\left(\dfrac{1}{4}-3\right)\) =-88
\(2^x.\left(\dfrac{-11}{4}\right)\) =-88
\(2^x\) =\(-88:\left(\dfrac{-11}{4}\right)\)
\(2^x\) =32
\(2^x=2^5\)
\(\Rightarrow\) x=5