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5x . ( 53 )2 = 625
<=> 5x . 56 = 625
<=> 5x+6 = 625
<=> 5x+6 = 54
<=> x + 6 = 4
<=> x = -2
\(5^x.\left(5^3\right)^2=625\)
\(\Leftrightarrow5^x.5^6=625\)
\(\Leftrightarrow5^x=\frac{1}{5^2}\)
\(\Leftrightarrow x=-2\)
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Ta có: 25x + 1 . 125x . 625x + 2 = (52)5
=> (52)x + 1 . (53)x . (54)x+ 1 = 510
=> 52x + 2 . 53x . 54x + 8 = 510
=> 2x + 2 + 3x + 4x + 8 = 10
=> 9x + 2 + 8 = 10
=> 9x = 10 - 2 - 8
=> 9x = 0
=> x = 0 : 9
=> x = 0
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a: =>2x+5=4
=>2x=-1
hay x=-1/2
b: \(\Leftrightarrow\left(3x-4\right)^2\cdot\left[\left(3x-4\right)^2-1\right]=0\)
=>(3x-4)(3x-5)(3x-3)=0
hay \(x\in\left\{1;\dfrac{4}{3};\dfrac{5}{3}\right\}\)
c: \(\Leftrightarrow3^{x+1}=3^{2x}\)
=>2x=x+1
=>x=1
d: \(\Leftrightarrow2^{2x+3}=2^{2x-10}\)
=>2x+3=2x-10
=>0x=-13(vô lý)
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\(5^x.\left(5^3\right)^2=625=5^4\)
\(5^x=5^4:5^6=5^{-2}\)
Vậy x = -2
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![](https://rs.olm.vn/images/avt/0.png?1311)
5x . (53)2 = 625
5x . 56 = 54
5x+6 = 54
=> x + 6 = 4
=> x = 4 - 6
x = -2
Vậy x = -2
Ủng hộ mk nha !!!! ^_^
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