tim x biet 5^(2x-3)-2.5^2=5^2.3
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\(5^{2x-3}-2.5^2=5^2.3\)
\(\Rightarrow5^{2x-3}=5^2.3+5^2.2\)
\(\Rightarrow5^{2x-3}=5^2.\left(2+3\right)=5^3\)
\(\Rightarrow2x-3=3\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=3\)
\(5^{2x-3}\)-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
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) \(5.3^x=7.3^5-2.3^5\Leftrightarrow5.3^x=3^5.\left(7-2\right)\)
\(\Leftrightarrow3^5.x=3^5.5;x=5\)
52x—3–2.52=52.3( đề vầy phải ko bạn)
52x—3–2.25=25.3
52x—3–2.25=75
52x—3–2=75:25
52x—3–2=3
52x—3=3+2
52x—3=51
==> 2x—3=1
==> 2x=1+3
==> 2x=4
x=4:2
x=2
|2x—7| =20+5.(—3)
|2x—7| = 20+(—15)
|2x—7| = 5
==> 2x—7=—5 hoặc 2x—7=5
==> 2x=—5+7 hoặc 2x= 5+7
==> 2x= 2 hoặc 2x=12
==> x=2:2 hoặc x=12:2
==> x=1 hoặc x=6
mk chi lam duoc cau c thoi
suy ra 2x-1=5 hoac 2x-1=-5
2x=6 2x=-4
x=3 x=-2
vay x=3 hoac x=-2
a. 3/4.x+1/3=-1/2
=>3/4.x=-1/2-1/3=-5/6
=>x=-5/6 chia 3/4=-10/9
b. -x/4=-9/x =>-x*x=4*-9
=>-2x=-36 =>x=18
c./2x-1/=5
=> 2x-1=5 =>2x=5+1=6 =>x=3
hoặc 2x-1=-5 =>2x=-5+1=-4 =>x=-2
d,e: Sai đề rồi
a,5^x=125
=>5^x=5^3
=>x=3
b,3^2x=81
=>3^2x=3^4
=>2x=4
=>x=4:2=2
c,5^2x-3-2*5^2=5^2+3
5^2x-3-50=75
5^2x-3=75+50=125
5^2x-3=5^3
=>2x-3=3
=>2x=3+3=6
=>6:2=3
k cho mk nhé
\(a,125=5\cdot5\cdot5=5^3\Leftrightarrow x=3\)
\(b,81=3\cdot3\cdot3\cdot3=3^4\Leftrightarrow2x=4\Leftrightarrow x=4:2\Leftrightarrow x=2\)
\(c,5^{2x-3}-2\cdot5^2=5^2\cdot3\)
\(\Leftrightarrow5^{2x-3}=2\cdot5^2+5^2\cdot3\)
\(\Leftrightarrow5^{2x-3}=5^2\cdot\left(2+3\right)\)
\(\Leftrightarrow5^{2x-3}=5^2\cdot5\Leftrightarrow5^{2x-3}=5^3\)
\(\Leftrightarrow2x-3=3\Leftrightarrow2x=3+3\Leftrightarrow2x=6\Leftrightarrow x=6:2\Leftrightarrow x=3\)
\(5^{2x-3}-2\cdot5^2=5^2\cdot3\)
\(\Rightarrow5^{2x-3}-50=75\)
\(\Rightarrow5^{2x-3}=75+50\)
\(\Rightarrow5^{2x-3}=125\)
\(\Rightarrow5^{2x-3}=5^3\)
\(\Rightarrow2x-3=3\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=\dfrac{6}{2}=3\)
5^(2x-3) = 5^2.3 + 2.5^2
5^(2x-3) = 5^2( 3 + 2)
5^(2x-3) = 5^2.5
5^(2x-3) = 5^3
2x - 3 =3
2x = 6
x = 3
woa giỏi quá