a. \(8^{x-3}.8^3=2^5.4^5\)
\(\Rightarrow8^{x-3+3}=32.1024\)
\(\Rightarrow8^{x-3+3}=32768\)
\(\Rightarrow8^{x-3+3}=8^5\)
\(\Rightarrow x-3+3=5\)
\(\Rightarrow x=5+3-3\)
\(\Rightarrow x=5\)
Vậy...
b. \(5^{3.x-2}.125=5^4\)
\(\Rightarrow5^{3x-2}.5^3=5^4\)
\(\Rightarrow5^{3x-2}=5^4:5^3=5^1\)
\(\Rightarrow3x-2=1\)
\(\Rightarrow3x=1+2=3\)
\(\Rightarrow x=3:3=1\)
Vậy...
8x-3.83=25.45
(23)x-3.(23)3=25.(22)5
23(x-3).29=25.210
23x-3.3.29=215
23x-9=215:29
23x-9=24
=>3x-9=4
3x=4+9
3x=15
x=15:3
x=5
1, 8x - 3. 83 = 25 . 45.
8x - 3. 83 = 85
8x - 3 = 85 : 83
8x - 3 = 82
<=> x - 3 = 2
x = 2 + 3
x = 5
2, 53.x - 2 . 125 = 54
53.x - 2. 53 = 54
53.x - 2 = 54 : 53
53.x - 2 = 51
<=> 3.x - 2 = 1
3.x = 1 + 2
3.x = 3
x = 3 : 3 = 1
2. 53.x-2.125=54
=> 53.x-2=5
=> 3x-2= 1
=> x=1
53x-2.125=54
53x-2.53=54
53x-2=54:53
53x-2=5
=>3x-2=1
3x=1+2
3x=3
x=3:3
x=1