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Ta có \(5^x=125\)
\(\Rightarrow5^x=5^3\Rightarrow x=3\)
Vậy x = 3
b,\(3^{2x}=81\)
\(\Rightarrow3^{2x}=3^4\Rightarrow2x=4\Rightarrow x=2\)
Vậy x = 2
c,\(5^{2x-3}-2.5^2=5^2.3\)
\(\Rightarrow5^{2x-3}=5^2.3+5^2.2\Rightarrow5^{2x-3}=5^2.\left(2+3\right)\Rightarrow5^{2x-3}=5^3\)
\(\Rightarrow2x-3=3\Rightarrow2x=6\Rightarrow x=3\)
Vậy x = 3
52x-3-2.52=52.3
52x-3=2.52+52.3
52x-3=125
52x-3=53
=>2x-3=3
2x=3+3
2x=6
x=6:2
x=3
CHÚC BN HOK TỐT!
a) 3^2x=9^2
3^2x=3^2.3^2
3^2x=3^4
3^2x=3^2.2
=>2x=2.2
=>x=4/2
=>x=2
\(5^{2x-3}-2=5^2.3:5^2\)
\(5^{2x-3}-2=3\)
\(5^{2x-3}=3+2\)
\(5^{2x-3}=5^1\)
=> 2x-3=1
2x=1+3
2x=4
x=4:2
x=2
Vậy x=2
\(5^{2x-3}-2.5^2=5^2.3\)
\(5^{2x-3}-2.25=25.3\)
\(5^{2x-3}-2.25=75\)
\(5^{2x-3}-2=75:25\)
\(5^{2x-3}-2=3\)
\(5^{2x-3}=3-2\)
\(5^{2x-3}=1\)
\(5^{2x-3}=5^0\)
\(\Rightarrow2x-3=0\)
\(2x=0+3\)
\(x=3:2\)
\(x=1.5\)
Vậy x = 1.5
\(5^{2x-3}-2.5^2=5^2.3\)
\(5^{2x-3}=5^2.3+2.5^2\)
\(5^{2x-3}=5^2\left(2+3\right)\)
\(5^{2x-3}=5^3\Rightarrow2x-3=3\Rightarrow2x=6\Rightarrow x=3\)
52x - 3 - 2 . 52 = 52 . 3
52x - 3 - 2 . 25 = 25 . 3
52x - 3 - 2 . 25 = 75
52x - 3 - 50 = 75
52x - 3 = 75 + 50
52x - 3 = 125
\(\Rightarrow\) 52x - 3 = 53
\(\Rightarrow\) 2x - 3 = 3
2x = 3 + 3
2x = 6
x = 6 : 2
x = 3.
52x-3 - 2.52 = 52.3
52x-3 = 2.52 + 52.3
52x-3= 52. ( 3+2 ) = 5 2 . 5 = 53
2x - 3 = 3
2x = 3 + 3
2x = 6
x = 6 : 2 =3
=> x = 3
like
5²ˣ⁻³ - 2.5² = 5².3
5²ˣ⁻³ - 2.25 = 25.3
5²ˣ⁻³ - 50 = 75
5²ˣ⁻³ = 75 + 50
5²ˣ⁻³ = 125
5²ˣ⁻³ =5³
2x - 3 = 3
2x = 3 + 3
2x = 6
x = 6 : 2
x = 3
\(5^{2x-3}-2.5^2=5^2.3\)
\(\Leftrightarrow5^{2x}:5^3-50=75\)
\(\Leftrightarrow5^{2x}:5^3=75+50\)
\(\Leftrightarrow5^{2x}:5^3=125\)
\(\Leftrightarrow5^{2x}=125.5^3\)
\(\Leftrightarrow5^{2x}=5^3.5^3\)
\(\Leftrightarrow5^{2x}=5^6\)
\(\Leftrightarrow2x=6\)
\(\Leftrightarrow x=6:2\)
\(\Leftrightarrow x=3\)
Vậy x=3