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a) \(5^{x+1}=125=5^3\)
\(\Rightarrow x+1=3\Rightarrow x=2\)
b) \(\left(x-16\right)^2=9=3^2\)
\(\Rightarrow x-16=3\Rightarrow x=19\)
d) \(\left(x-1\right)^2=\left(x-1\right)^3\)
\(\Rightarrow\orbr{\begin{cases}x-1=0\\x-1=1\end{cases}\Rightarrow\orbr{\begin{cases}x=1\\x=2\end{cases}}}\)
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a) 120 - 5 . ( x + 2 ) = 45
5 . (x + 2) = 120 - 45
5 . (x + 2) = 75
x + 2 = 75 : 5
x + 2 = 15
x = 17
b) ( 2.x - 3 )2 = 49
( 2.x - 3 )2 = 72
( 2.x - 3 ) = 7
2x = 10
x = 5
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a) 3x+1 =279
=> 3x * 31 = (33)9 = 3 3 x 9 = 327
=> 3x = 327 : 31 = 326
=> 3x = 3 26
=> x= 26
b) ( x - 1 ) 5 = 32
=> ( x - 1 )5 = 25
=> x - 1 = 2
=> x = 2 + 1 = 3
c) 2 x = 815
=> 2x =( 24)15
=> 2x = 2 4 x 15 = 2 60
=> 2x = 260 => x=60
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\(0\div x=0\).............................
\(\Rightarrow x\inℝ\)....................
Hk otots............................
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a) (2x-1)5 = 2x-1
=> (2x-1)5 - (2x-1) = 0
(2x-1).[(2x-1)4 -1]=0
=> 2x-1 =0 => 2x = 1=> x = 1/2
(2x-1)4 - 1= 0 => (2x-1)4 = 1 = 14 = (-1)4
=> 2x-1= 1 => 2x = 2 => x = 1
2x -1 = -1 => 2x = 0 => x = 0
KL:...
b) 25x.43 = 169
25x = (42)9:43
25x = 418:43
25x = 415 = (22)15 = 230
=> 5x = 30 => x = 6
c) 3x+1+4.3x = 7.36
3x.3+4.3x = 5013
3x.(3+4) = 5013
3x.7 = 5013
3x = 729 = 36
=> x = 6
\(3^{x+1}=9^x\)
\(3^{x+1}=\left(3^2\right)^x\)
\(3^{x+1}=3^{2x}\)
\(→x+1=2x\)
\(1=2x-x\)
\(1=x\)
~ Chúc học tốt ~
Ai ngang qua xin để lại 1 L - I - K - E
3x+1 =9x
=>3x+1 =(32)x
=>3x+1 =32x
=>x+1 =2x
=>1=2x-x
=>x=1