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( x + 2 )5 = 243
=> ( x + 2 )5 = 35
x + 2 = 3
x = 3 - 2
x = 1
\(\left(x+2\right)^5=243\)
\(\left(x+2\right)^5=3^5\)
\(\Rightarrow x+2=3\)
\(x=3-2\)
\(x=1\)
nha.
a: =>1/3x-2/5x=5
=>-1/15x=5
=>x=-75
b: =>4x=4
=>x=1
c: =>6*3^x-5*3^x=243
=>3^x=243
=>x=5
a) \(3^{2x-1}=243\)
\(\Leftrightarrow3^{2x-1}=3^5\)
\(\Leftrightarrow2x-1=5\)
\(\Leftrightarrow2x=5+1\)
\(\Leftrightarrow2x=6\)
\(\Leftrightarrow x=\dfrac{6}{2}\)
\(\Leftrightarrow x=3\)
Vậy \(x=3\)
b) \(\left(3^x\right)^2:3^3=\dfrac{1}{243}\)
\(\Leftrightarrow3^{2x}:3^3=\dfrac{1}{3^5}\)
\(\Leftrightarrow3^{2x}:3^3=3^{-5}\)
\(\Leftrightarrow3^{2x-3}=3^{-5}\)
\(\Leftrightarrow2x-3=-5\)
\(\Leftrightarrow2x=-5+3\)
\(\Leftrightarrow2x=-2\)
\(\Leftrightarrow x=-\dfrac{2}{2}\)
\(\Leftrightarrow x=1\)
Vậy \(x=1\)
c) \(2^{3x+2}=4^{x+5}\)
\(\Leftrightarrow2^{3x+2}=\left(2^2\right)^{x+5}\)
\(\Leftrightarrow2^{3x+2}=2^{2\left(x+5\right)}\)
\(\Leftrightarrow3x+2=2\left(x+5\right)\)
\(\Leftrightarrow3x+2=2x+10\)
\(\Leftrightarrow3x-2x=10-2\)
\(\Leftrightarrow x=8\)
Vậy \(x=8\)
d) \(3^{x+1}=9^x\)
\(\Leftrightarrow3^{x+1}=\left(3^2\right)^x\)
\(\Leftrightarrow3^{x+1}=3^{2x}\)
\(\Leftrightarrow x+1=2x\)
\(\Leftrightarrow2x-x=1\)
\(\Leftrightarrow x=1\)
Vậy \(x=1\)
a, A= 5x415 x 99 - 4x320x 89 = 5x230x318-22x 227x320
=229x318(2x5-32)=229x318
B=5x29x619-7x229x276=5x29x219x3197x229x318
=238x318(5x3-7x2)=228-318
->A:B= 229x318:228:318=2
\(\left(x-3\right)^5=243=3^5\Rightarrow x-3=3\Leftrightarrow x=3+3=6\)
\(x\left(x+y\right)=2\Rightarrow xx+xy=2\Rightarrow x=1;y=1\left(TM\right)\)
\(\left(x+2\right)^5=2^{10}=4^5\Rightarrow x+2=4\Leftrightarrow x=4-2=2\)
\(1+2+3+...+x=78\Rightarrow\frac{x\left(x+1\right)}{2}=78\)
\(\Rightarrow x\left(x+1\right)=78\times2=156=12\times13\Rightarrow x=12\)
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Ta có:\(\left(x-2\right)^5=243=3^5\Rightarrow x-2=3\Rightarrow x=5\)
Vậy x=5
Ta có: x − 2 5 = 243 = 3 5 ⇒x − 2 = 3⇒x = 5
Vậy x = 5
k cho mk nha ^_^
x23:216=x15.x5
x23: 63= x20
==> 63=x23:x20
==> 63=x3
==> x=6
(5x.5x+2):53=125
==> 52x+2:53=53
==> 52x+2=53.53
==> 52x+2=56
==> 2x+2=6
2x=6–2
2x=4
x=4:2
x=2
(3x.3x+4):33=243
==> 32x+4:33=35
32x+4=35.33
32x+4=38
==> 2x+4=8
2x=8–4
2x=4
x=4:2
x=2
3x+3x+1+3x+2=243
3x.1+3x.31+3x.32=243
3x.(1+31+32)=243
3x. (1+3+9)=243
3x.13=243
3x=243:13
3x=...
(x-2)5=243
(x-2)5= 35
\(\Rightarrow\)x-2=3
\(\Rightarrow\)x=3+2
\(\Rightarrow\)x= 5
Vậy x=5
Chúc bn hc tốt
#miu
#armybts
\(\left(x-2\right)^5=243\)
\(\Rightarrow\)\(\left(x-2\right)^5=3^5\)
\(\Rightarrow\)\(x-2=3\)
\(\Rightarrow\)\(x=3+2\)
\(\Rightarrow\)\(x=5\)