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5.3x+2 - 2.3x-2 = 3627
=> 3x-2 .( 5.34 - 2.1 ) = 3627
=> 3x-2 .( 5.81 - 2 ) = 3627
=> 3x-2 .( 405 - 2 ) = 3627
=> 3x-2 .403 = 3627
=> 3x-2 = 3627 : 403
=> 3x-2 = 9 = 32
=> x - 2 = 2
=> x = 2 + 2
x = 4
Vậy: x = 4
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1) \(7.4^x=7.4^3\Leftrightarrow4^x=4^3;x=3\)
2) \(\frac{3}{2.5^x}=\frac{3}{2.5^{12}}\Leftrightarrow5^x=5^{12};x=12\)
\(2^x=2.2^8=2^9;x=9\)
4) \(5.3^x=7.3^5-2.3^5\Leftrightarrow5.3^x=3^5.\left(7-2\right)\)
\(\Leftrightarrow3^5.x=3^5.5;x=5\)
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b) x + 2/5 = 2-3x/3
x + 2/5 = 2 -x
x +x = 2 - 2/5
2x= 8/5
x = 8/5 x 1/2
x = 4/5
c) 2. 3^x . 3^2 = 18
3^x+2 = 18:2
3^ x+2 = 9
3^ x+2 = 3^2
=> x+2 = 2
=> x=0
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3.3x-2 + 5.3x-2 -2.33.3x-2 =-414
(3+5-2.33) . 3x-2 =-414
-46. 3x-2 = -414
3x-2 = 9
x-2=2
x=4
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\(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{x.\left(x+1\right)}=\frac{2014}{2015}\)
\((1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{x}-\frac{1}{x+1})=\frac{2014}{2015}\)
\(\Rightarrow1-\frac{1}{x+1}=\frac{2014}{2015}\)
\(\Rightarrow\frac{1}{x+1}=\frac{1}{2015}\)
\(\Rightarrow x+1=2015\)
\(\Leftrightarrow x=2014\)
Vậy x=2014
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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
thiếu r bn ơi
thiếu gì vậy bn