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=> 5^2x-3 = 5^2.3 + 5^2.2 = 5^2.(2+3) = 5^2.5 = 5^3
=> 2x-3 = 3
=> 2x = 3+3 = 6
=> x = 6:2 = 3
Vậy x = 3
Tk mk nha
52x - 3 - 2.52 = 52.3
52x-3 = 52.3 + 2.52
52x - 3 = 53
2x- 3 = 3
2x = 6
x = 3
a: \(\Leftrightarrow\left[\left(3x+14\right):4-3\right]:2=1\)
=>(3x+14):4-3=2
=>(3x+14):4=5
=>3x+14=20
=>3x=6
hay x=2
b: \(\Leftrightarrow\left[\left(x:4+17\right):10+3\cdot16\right]:10=5\)
\(\Leftrightarrow\left(x:4+17\right):10=50-48=2\)
=>x:4+17=20
=>x:4=3
hay x=12
c: \(\Leftrightarrow2\cdot15^2+\left[2\cdot125-\left(2x+4\right)\cdot5\right]:19=453\)
\(\Leftrightarrow250-\left(2x+4\right)\cdot5=\left(453-450\right)\cdot19=57\)
=>5(2x+4)=197
=>2x+4=197/5
=>2x=177/5
hay x=177/10
d: \(\Leftrightarrow\left(19x+50\right):14=5^2-4^2=9\)
=>19x+50=126
=>19x=76
hay x=4
e: \(\Leftrightarrow2\cdot3^x=10\cdot3^{12}+8\cdot3^{12}=18\cdot3^{12}\)
\(\Leftrightarrow3^x=3^2\cdot3^{12}=3^{14}\)
hay x=14
f: \(\Leftrightarrow3\left(x+2\right):7=30\)
=>3(x+2)=210
=>x+2=70
hay x=68
g: \(2480-1570+200-x+5=1010\)
=>1115-x=1010
hay x=105
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.