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\(3^x+3^{x+2}=810\)
=> \(3^x\cdot1+3^x\cdot3^2=810\)
=> \(3^x\cdot\left(1+3^2\right)=810\)
=> \(3^x\cdot10=810\)
=> \(3^x=810:10=81\)
=> \(x=4\)
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a)\(3^{x-2}+3^x=810\)
\(\Leftrightarrow3^x\left(3^{-2}+1\right)=810\)
\(\Leftrightarrow3^x\cdot\frac{10}{9}=810\)
\(\Leftrightarrow3^x=729\)
\(\Leftrightarrow3^x=3^6\)
\(\Leftrightarrow x=6\)
b)402240223.(x2-1)=804480443
\(\Leftrightarrow x^2-1=80448044^3:40224022^3\)
\(\Leftrightarrow x^2-1=\left(\frac{80448044}{40224022}\right)^3\)
\(\Leftrightarrow x^2-1=2^3\)
\(\Leftrightarrow x^2=9\)
\(\Leftrightarrow x=\pm3\)
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\(3^{x+2}+3^{x+3}=810\)
\(\Rightarrow6^{2x+5}=810\)
\(\Rightarrow2x+5=810:6\)
\(2x+5=135\)
\(\Rightarrow2x=135-5\)
\(2x=130\)
\(x=130:2\)
\(x=65\)
ủng hộ
đề :
\(3^x.3^2+3^x.3^3=810\)
\(3^x\left(3^2+3^3\right)=810\)
...?...
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lúc khác mình
làm cho neh sbn
bây giờ mình
bận lắm
=>\(\left(3^2+1\right).3^{x+1}=810\)
=>\(3^{x+1}=81\)
=>\(3^{x+1}=3^4\)
=>x+1=4
=> x=3
3x+1 +3x+3=810
<=> 3x.3 +3x.3.3.3=810
<=>3x.(3+3.3.3)=810
<=>3x.30=810
<=>3x=27
<=>x=3
vậy x=3
bạn k cho mình nha :))