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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
a)5x+1=125
=>5x+1=53
=>x+1=3
=>x=2
vậy x=2
b)42x+1=64
=>42x+1=43
=>2x+1=3
=>x=1
vậy x =1
e)=>43x+2017=42020-3
=>3x+2017=2017
=>x=0
vậy x=0
f)=>2x+2x x 23=144
=>2x x (1+23)=144
=>2x x 9=144
=>2x=16
=>2x=24
=>x=4
vậy x=4
\(125-\left(x+48\right)=10^2\)
\(\Leftrightarrow125-x-48=100\)
\(\Leftrightarrow77-x=100\)
\(\Leftrightarrow x=77-100\)
\(\Leftrightarrow x=-23\)
\(120-x:4=3^4:3^{11}\)
\(\Leftrightarrow120-x:4=3^{-7}\)
\(\Leftrightarrow120-x;4=\frac{1}{3^7}\)
\(\Leftrightarrow120-x:4=\frac{1}{2187}\)
\(\Leftrightarrow x:4=120-\frac{1}{2187}=\text{119.999542752629}\)
\(\Rightarrow x=\text{119.999542752629}.4=\text{479.998171}\)
125-(x+48)=102
=>125-(x+48)=100
=>x+48=125-100
=>x+48=25
=>x=25-48
=>x=-23
120-x:4=34:311
=>120-x:4=1/2187
=>x:4=120-1/2187
=>x:4=262439/2187
=>x=232439/2137x4
=>x=929756/2187
125 - ( x + 48 ) = 102
125 - ( x + 48 ) = 100
x + 48 = 125 - 100
x + 48 = 25
x = 25 - 48
x = -23
\(a,4^{2x-6}=1\)\(\Leftrightarrow2x-6=0\Leftrightarrow2x=6\Rightarrow x=3\)
\(b,2^{2x-1}=16\Rightarrow2^{2x-1}=2^4\)
\(\Rightarrow2x-1=4\Rightarrow2x=5\Rightarrow x=\frac{5}{2}\)
\(c,5< 5^x< 125\Rightarrow5^1< 5^x< 5^3\)\(\Rightarrow1< x< 3\)
\(d,5^{x+1}=125\Rightarrow5^{x+1}=5^3\Rightarrow x+1=3\Rightarrow x=2\)
\(a,4^{2x-6}=1\)
\(4^{2x-6}=4^0\)
\(\Rightarrow2x-6=0\)
\(\Rightarrow2x=6\Leftrightarrow x=3\)
\(b,2^{x-1}=16\)
\(2^{x-1}=2^4\)
\(\Rightarrow x-1=4\)
\(\Rightarrow x=5\)
2x.4=128
=> 2x=128:4
=> 2x=32
=> 2x=25
=> x=5
(2x+1)3=125
=>(2x+1)3=53
=>2x+1=5
=>2x=5-1
=>2x=4
=>2x=22
=>x=2
2x-15=17
=>2x=17+15
=>2x=32
=>2x=25
=>x=5
\(15^7:15^5=15^2\)
\(x^2.x^4.x=x^7\)
\(2^3.64.81=2^3.2^6.9^2=2^9.9^2\)
\(16^8:2^3=\left(2^4\right)^8:2^3=2^{32}:2^3=2^{29}\)
\(4^7.12^{14}=4^7.\left(3.4\right)^{14}=4^7.3^{14}.4^{14}=4^{21}.3^{14}\)
\(125^6:5^4=\left(5^3\right)^6:5^4=5^{18}:5^4=5^{14}\)
Ta có :
15 mũ 7 : 15 mũ 5 = 15 mũ ( 7-5 ) = 15 mũ 2
x mũ 2 . x mũ 4 . x = x mũ (2 + 4 +1 ) = x mũ 7
2 mũ 3 . 64.81 = 2 mũ 3 . 2 mũ 6 . 3 mũ 4 = 2 mũ 9 . 3 mũ 4
16 mũ 8 : 2 mũ 3 = 2 mũ 32 : 2 mũ 3 = 2 mũ 29
4 mũ 7 . 12 mũ 14 = 2 mũ 14 .12 mũ 14 = 24 mũ 14
125 mũ 6 : 5 mũ 4 = 5 mũ 18 : 5 mũ 4 = 5 mũ 14
chúc bạn học tốt ^^
3x+2+3x+3=108
3x . 32 + 3x . 33 = 108
3x . ( 32 + 33 ) = 108
3x . 36 =108
3x = 108 : 36
3x = 3
3x = 31
=> x = 1
42 x 125 - 225 x 42
=42 x (125-225)
=42 x (-100)
=16 x (-100)
=-1600