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a) \(5.\left(x-3\right)=15\)
\(x-3=15:5\)
\(x-3=3\)
\(x=6\)
b)\(10+2.x=4^5:4^3\)
\(10+2.x=16\)
\(2x=16-10\)
\(2x=6\)
\(x=3\)
c) \(5^{x+1}=125\)
\(5^{x+1}=5^3\)
\(x+1=3\)
\(x=2\)
d) \(5^{2x-3}-2.5^2=5^2.3\)
\(5^{2x-3}=2.5^2+5^2.3\)
\(5^{2x-3}=125\)
\(5^{2x-3}=5^2\)
\(2x-3=2\)
\(2x=6\)
\(x=3\)
Mk nhanh nek bn
a, 52x - 3 - 2.52 = 52.3
=> 52x - 3 - 50 = 75
=> 52x - 3 = 125
=> 52x - 3 = 53
=> 2x - 3 = 3
=> 2x = 0
=> x = 0
vậy_
b, (x + 1) + (x + 2) + ....+ (x + 100) = 5750
=> x + 1 + x + 2 + ... + x + 100 = 5750
=> (x + x + x + ... + x) + (1 + 2 + 3 + ... + 100) = 5750
=> 100x + 5050 = 5750
=> 100x = 700
=> x = 7
vậy_
52x-3 - 2.52 = 52.3
52x-3 = 52.3 + 2.52
52x-3 = 52.(3 + 2)
52x-3 = 52.5 = 53
=> 2x - 3 = 3
=> 2x = 3 + 3
=> 2x = 6
=> x = 6 : 2
=> x = 3
Vậy x = 3
52x-3-2.52=52.3
52x-3-50=75
52x-3=125
52x-3 = 53
2x-3=3
2x=6
x=3
\(5^{2x-3}-2.5^2=5^2.3\)
\(5^{2x-3}-50=75\)
=>\(5^{2x-3}=75+50=125\)
Mà \(5^{2x-3}=125=5^3\)
=>2x-3=3
2x=3+3=6
=>x=3
-52x-32.52=52.3
\(5^{2x-3}\)-50=75
\(5^{2x-3}\)=75+50
\(5^{2x-3}\)=215
\(5^{2x-3}\) =\(5^3\)
\(\Rightarrow\) \(2x-3=3\)
\(2x=3+3\)
\(2x=6\)
\(x=6:2\)
\(x=3\)
Vậy x = 3
a) 5x = 125
53 = 125
Vậy x = 3
b) 3x = 81
34 = 81
Vậy x = 4
c)52x-3 - 2 . 52 = 52 . 3
52x-3 = 52 . 3 + 2. 52
52x-3 = 52 . ( 3 + 2 )
52x-3 = 52 . 5
52x-3 = 53
=> 2x - 3 = 3
2x = 6
x = 3
Vậy x = 3
\(5^{2x-3}-2.5^2=5^2.3\)
\(\Rightarrow5^{2x-3}=5^2.3+5^2.2\)
\(\Rightarrow5^{2x-3}=5^2.\left(2+3\right)=5^3\)
\(\Rightarrow2x-3=3\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=3\)
\(5^{2x-3}\)-2.\(5^2\)= \(5^2\).3
\(5^{2x-3}\) _2.25=25.3
\(5^{2x-3_{ }}\)_50=75
\(5^{2x-3}\)= 75_50
\(5^{2x-3}\)= \(5^2\)
suy ra : 2x-3=2
2x=2.3
2x=6
x=6:2
x=3
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