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2.3x - 405 = 3x-1
2.3x - 405 = 3x : 3
2.3x - 3x : 3 = 405
\(\Leftrightarrow\)2 . 3x - 3x . \(\frac{1}{3}\)= 405
3x . ( 2 - \(\frac{1}{3}\)) = 405
3x . \(\frac{5}{3}\)= 405
3x = 405 : \(\frac{5}{3}\)
3x = 27
3x = 33
\(\Rightarrow\)x = 3
4) \(2.3^x+3^{x-1}=7.\left(3^2+2.6^2\right)\)
\(\Rightarrow2.3^x+3^{x-1}=567\)
\(\Rightarrow7.3^{x-1}=567\)
\(\Rightarrow3^{x-1}=567\div7\)
\(\Rightarrow3^{x-1}=81\)
\(\Rightarrow3^{x-1}=3^4\)
\(\Rightarrow x-1=4\)
\(\Rightarrow x=4+1\)
\(\Rightarrow x=5\)
Vậy \(x=5\)
Tìm x
X-1/5 = 2x+1/3
X+3/2x-5 = 2/3
2/3 . 3x+1 - 7 . 3x = -405
2x+3 . 5 + 2x+2 . 3 + 2x+1 . 24 = 200
1:
\(\Leftrightarrow4\cdot3^x\cdot\dfrac{1}{9}+2\cdot3^x\cdot3=4\cdot3^4+2\cdot3^7\)
\(\Leftrightarrow3^x\cdot\left(\dfrac{4}{9}+6\right)=3^4\cdot\left(4+2\cdot3^3\right)\)
\(\Leftrightarrow3^x=729\)
hay x=6
2: \(\Leftrightarrow3^x\cdot4\cdot\dfrac{1}{3}+3^x\cdot2\cdot9=4\cdot3^6+2\cdot3^9\)
\(\Leftrightarrow3^x\cdot\dfrac{58}{3}=42282\)
=>3x=2187
hay x=7
\(2\cdot3^x-405=3^{x-1}\)
=>\(2\cdot3^x-3^x\cdot\dfrac{1}{3}=405\)
=>\(3^x\cdot\dfrac{5}{3}=405\)
=>\(3^x=405:\dfrac{5}{3}=405\cdot\dfrac{3}{5}=243=3^5\)
=>x=5