27.3^x = 3^12 ÷ 3^3
27.3^x = 3^12 ÷ 3^
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2x - 3 = 17
2x = 17 + 3
2x = 20
x = 20 : 2
x = 10
---------------
4² - 3x = 27.3 - 77
16 - 3x = 81 - 77
16 - 3x = 4
3x = 16 - 4
3x = 12
x = 12 : 3
x = 4
----------------
48 + 2x = 3.2³
48 + 2x = 3.8
48 + 2x = 24
2x = 24 - 48
2x = -24
x = -24 : 2
x = -12
----------------
(13x - 12²) : 5 = 5
13x - 144 = 5.5
13x - 144 = 25
13x = 25 + 144
13x = 169
x = 169 : 13
x = 13
\(2x-3=17\)
\(2x=17+3\)
\(2x=20\)
\(x=20:2\)
\(x=10\)
____
\(4^2-3x=27.3-77\)
\(16-3x=81-77\)
\(16-3x=4\)
\(3x=16-4\)
\(3x=12\)
\(x=12:3\)
\(x=4\)
_____
\(48+2x=3.2^3\)
\(48+2x=3.8=24\)
\(2x=24-48\)
\(2x=\left(-24\right)\)
\(x=\left(-24\right):2\)
\(x=\left(-12\right)\)
____
\(\left(13x-12^2\right):5=5\)
\(\left(13x-144\right):5=5\)
\(13x-144=5.5\)
\(13x-144=25\)
\(13x=25+144\)
\(13x=169\)
\(x=169:13\)
\(x=13\)
a) 2x - 2x + 3 = -56
<=> 2x(1 - 23) = -56
<=> 2x.(- 7) = -56
<=> 2x = 8
<=> 2x = 23
<=> x =3
Vậy x = 3
b) 3x + 1 + 3x = 108
<=> 3x(3 + 1) = 108
<=> 3x = 27
<=> 3x = 33
<=> x = 3
Vậy x = 3
c) 27.3x + 1 = 33x
<=> 33.3x + 1 = 33x
<=> 3x + 4 = 33x
<=> x + 4 = 3x
<=> 2x = 4
<=> x =2
Vậy x = 2
d) 3x + 2 - 3x = 72
<=> 3x(32 - 1) = 72
<=> 3x = 9
<=> 3x = 32
<=> x = 2
e) (x - 5)12 - (x - 5)10 = 0
<=> (x - 5)10[(x - 5)2 - 1] = 0
<=> \(\orbr{\begin{cases}\left(x-5\right)^{10}=0\\\left(x-5\right)^2-1=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}\left(x-5\right)^{10}=0\\\left(x-5\right)^2=1\end{cases}}\)
Khi (x - 5)10 = 0
<=> x - 5 = 0
<=> x = 5
Khi (x - 5)2 = 1
<=> \(\orbr{\begin{cases}x-5=1\\x-5=-1\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=6\\x=4\end{cases}}\)
Vậy x \(\in\left\{4;5;6\right\}\)
Trả lời:
a. 2x - 2x+3 = - 56
<=> 2x - 2x . 23 = - 56
<=> 2x ( 1 - 23 ) = - 56
<=> 2x . ( - 7 ) = - 56
<=> 2x = 8
<=> 2x = 23
<=> x = 3
Vậy x = 3
b. 3x+1 + 3x = 108
<=> 3x . 3 + 3x = 108
<=> 3x ( 3 + 1 ) = 108
<=> 3x . 4 = 108
<=> 3x = 27
<=> 3x = 33
<=> x = 3
Vậy x = 3
c. 27 . 3x+1 = 33x
<=> 33 . 3x+1 = 33x
<=> 33+x+1 = 33x
<=> 3 + x + 1 = 3x
<=> 4 + x = 3x
<=> x - 3x = - 4
<=> - 2x = - 4
<=> x = 2
Vậy x = 2
d. 3x+2 - 3x = 72
<=> 3x . 32 - 3x = 72
<=> 3x ( 32 - 1 ) = 72
<=> 3x . 8 = 72
<=> 3x = 9
<=> 3x = 32
<=> x = 2
Vậy x = 2
e. (x - 5)12 - (x - 5)10 = 0
<=> ( x - 5 )10 [ ( x - 5 )2 - 1 ] = 0
<=> ( x - 5 )10 = 0 hoặc ( x - 5 )2 - 1 = 0
<=> x - 5 = 0 hoặc ( x - 5 )2 = 1
<=> x = 5 hoặc x - 5 = 1 hoặc x - 5 = - 1
<=> x = 5 hoặc x = 6 hoặc x = 4
Vậy x = 4; x = 5; x = 6
a) 27 . 3x = 310
27 . 3x = 59049
3x = 59049 : 27
3x = 2187
3x = 37
x = 7
b) 60 + 3x = 910 : 98
60 + 3x = 92
60 + 3x = 81
3x = 81 - 60
3x = 21
x = 21 : 3
x = 7
c) 23 - 3(4+x ) = 3
3( 4 + x ) = 23 - 3
3( 4 + x ) = 20
Đề bài sai nha bạn
a) \(27.3^x=3^{10}\)
\(3^3.3^x=3^{10}\)
\(3^{3+x}=3^{10}\)
\(\Rightarrow3+x=10\)
\(\Rightarrow x=7\)
vậy \(x=7\)
b) \(60+3x=9^{10}:9^8\)
\(60+3x=9^{10-8}\)
\(60+3x=9^2\)
\(60+3x=81\)
\(3x=81-60\)
\(3x=21\)
\(x=7\)
vậy \(x=7\)
c) \(23-3\left(4+x\right)=3\)
\(23-12-3x=3\)
\(11-3x=3\)
\(3x=11-3\)
\(3x=8\)
\(x=\frac{8}{3}\)
vậy \(x=\frac{8}{3}\)
( 3x - 6 ) . 3 = 27 .3
( 3x - 6 ) . 3 = 81
3x - 6 = 81 : 3
3x - 6 = 27
3x = 27 + 6
3x = 33
x = 33 : 3
x = 11
Hok tốt nha
(3x-6).3 = 27.3
(3x-6).3 = 81
3x-6 = 81 : 3
3x-6 = 27
3x = 27 + 6
3x = 33
x = 33 : 3
x = 11
k mik nhé
1)\(3^{2x}=27\cdot3^x\)
\(\Leftrightarrow3^{2x}=3^3\cdot3^x\)
\(\Leftrightarrow3^{2x}=3^{3+x}\)
\(\Leftrightarrow2x=3+x\)
\(\Leftrightarrow2x-x=3\)
\(\Leftrightarrow x=3\)
Vậy \(x=3\)
a) 5^3 = 125
b)3^4.3^3=3^7
c)27.3^2=243
d)49.7^2=2401
e) chịu -_-
\(27.3^x=3^{12}:3^3\\ =>27.3^x=3^9\\ =>3^3.3^x=3^9\\ =>3^{3+x}=3^9\\ =>x+3=9\\ =>x=6\\ \)
27 . 3x = 312 : 33
27 . 3x = 39
33 . 3x = 39
3x = 39 : 33
3x = 36
x = 6