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a) 2.3x=162
=> 3x=162:2
=> 3x=81
=> 3x=34
=> x=4
b) 3x+3x+2=810
=> 3x+3x.32=810
=> 3x.(32+1)=810
=> 3x=810:10
=> 3x=81
=> 3x=34
=> x=4
(13.3x-2-3x):2=162
<=>3x-2(13-32)=162.2
<=>3x-2.4=324
<=>3x-2=324:4
<=>3x-2=81=34
<=>x-2=4
<=>x=6
Vậy...
Ta có: \(\left(13.3^{x-2}-3^x\right)\div2=162\)
\(\Leftrightarrow13.3^{x-2}-3^{x-2+2}=162.2\)
\(\Leftrightarrow13.3^{x-2}-3^2.3^{x-2}=324\)
\(\Leftrightarrow\left(13-9\right).3^{x-2}=324\)
\(\Leftrightarrow4.3^{x-2}=324\)
\(\Leftrightarrow3^{x-2}=\dfrac{324}{4}=81=3^4\)
\(\Leftrightarrow3^{x-2}=3^4\Leftrightarrow x-2=4\Leftrightarrow x=6\)
Vậy \(x=6\)
Ta có :
\(\left(13.3^{x-2}-3x\right):2=162\)
\(\Rightarrow3^{x-2}\left(13-3^2\right)=162.2\)
\(\Rightarrow3^{x-2}.4=324\)
\(\Rightarrow3^{x-2}=324:4\)
\(3^{x-2}=81\)
\(3^{x-2}=3^4\)
\(\Rightarrow x-2=4\)
\(x=4+2\)
\(x=6\)
Vậy \(x=6\) là giá trị cần tìm
~ Chúc bn học tốt ~
3^2.6.3^x+1=162
9.6.3^x+1=162
6.3^x+1=162:9
6.3^x+1=18
3^x+1=18:6
3^x+1=3
3^x+1=3^1
Suy ra x=0
vậy x=o thỏa mãn đề bài
a)x- 72 =8
x= 8+72
x=80
b) 2.3^x=162
3x=162:2
3x=81
x=81:3
x=27
c)
3x+3x+2=810
=> 3x.(1+32)=810
=> 3x.(1+9)=810
=> 3x.10=810
=> 3x=810:10
=> 3x=81
=> 3x=34
=> x=4
a, X-72=8
<=>X=8+72
<=>X=80
b,2.3x=162
<=>3x=162:2
<=>3x=81
<=>3x=34 =>X=4
c,3x+3x+2=810
<=>3x.1+3x.32=810
<=>3x(1+32)=810
<=>3x+10=810
<=>3x=810:10=81
Mà 34=81 hoặc (-3)4=81
vậy x=4 hoặc x=-4 .
\(2^x.2^1=32:2=16\)
\(2^x.2^1=2^4\)
\(2^x=2^{4-1}=2^3\Rightarrow x=3\)
\(7^x.7^{12}=56-7=49\)
\(7^x.7^{12}=7^2\)
\(7^x=7^{2-12}=7^{-10}\Rightarrow x=-10\)
\(3^x.3^1=162:6=27\)
\(3^x.3^1=3^3\)
\(3^x=3^{3-1}=3^2\Rightarrow x=2\)
a)3x-1+5.3x-1=162
3x-1.1+5.3x-1=162
3x-1.(5+1)=162
3x-1.6=162
3x-1=162/6
3x-1=27
3x-1=33
Suy ra x-1=3
x=3+1=4
b)2x+3+2x=144
2x.8+2x=144
2x.8+2x.1=144
2x.(8+1)=144
2x.9=144
2x=144/9
2x=16
2x=24
Suy ra x=4
a)\(2.3^x=162\)
\(\Rightarrow3^x=162:2\)
\(\Rightarrow3^x=81\)
\(\Rightarrow3^x=3^4\)
=> x = 4
b) \(\left(7x-11\right)^3=2^5.5^2+200\)
\(\Rightarrow\left(7x-11\right)^3=32.25+200\)
\(\Rightarrow\left(7x-11\right)^3=800+200\)
\(\Rightarrow\left(7x-11\right)^3=1000\)
=> Không tìm được số tự nhiên x.
a) 2 x 3x = 162
3x = 162 : 2
3x = 81
3x = 34
=> x = 4
b) (7x - 11)3 = 25 x 52 + 200
(7x - 11)3 = 32 x 25 + 200
(7x - 11)3 = 800 + 200
(7x - 11)3 = 1000
(7x - 11)3 = 103
=> 7x - 11 = 10
7x = 10 + 11
7x = 21
x = 21 : 7
x = 3