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7x + 2 + 2 . 7x - 1 = 345
7x - 1 . ( 73 + 2 ) = 345
7x - 1 . 345 = 345
7x - 1 = 345 : 345
7x - 1 = 1
7x - 1 = 70
x - 1 = 0
x = 0 + 1
x = 1
\(7^{^{ }1x+2}+2.7^{1x-1}\)=345
=>7^x.7^2+2.7^x:7=345
=>7^x.(49+2/7)=345
=>7^x.345/7=345
=>7^x=345:345/7
=>7^x=7
=>x=1
vậy x=1
\(7^{1x+2}+2.7^{1x-1}=345\\ \Leftrightarrow7^x.49+2.7^x.\dfrac{1}{7}=345\\ \Leftrightarrow7^x\left(49+\dfrac{2}{7}\right)=345\\ \Leftrightarrow7^x.\dfrac{345}{7}=345\\ \Leftrightarrow7^x=7\\ \Leftrightarrow x=1\)
Vay x=1
a . ( 17x + 23 ) : 12 = 9
=> 17x + 23 = 9 x 12
=> 17x + 23 = 108
=> 17x = 108 - 23
=> 17x = 85
=> x = 5
Vậy x = 5
b . 345 - ( 15x + 63 ) = 102
=> 15x + 63 = 345 - 102
=> 15x + 63 = 243
=> 15x = 243 - 63
=> 15x = 180
=> x = 12
Vậy x = 12
c . ( 11x - 23 ) . 73 = 5 . 75
=> ( 11x - 23 ) . 73 = 84035
=> ( 11x - 23 ) . 343 = 84035
=> 11x - 8 = 84035 : 343
= > 11x - 8 = 245
=> 11x = 245 + 8
=> 11x = 253
=> x = 23
Vậy x = 23
a, \(\left(2x+7\right)^4=10^{11}:10^7\)
\(\Rightarrow\left(2x+7\right)^4=10^4\)
\(\Rightarrow2x+7=10\)
\(\Rightarrow2x=10-7\)
\(\Rightarrow2x=3\)
\(\Rightarrow x=\dfrac{3}{2}\) hay \(x=1,5\)
b, \(5^{x-1}.7^{x-1}=25.49\)
\(\Rightarrow\)\(5^{x-1}.7^{x-1}=5^2.7^2\)
\(\Rightarrow\left\{{}\begin{matrix}5^{x-1}=5^2\\7^{x-1}=7^2\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x-1=2\\x-1=2\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x=3\\x=3\end{matrix}\right.\)
c, \(\left(x-5\right)^{2018}=9.\left(x-5\right)^{2016}\)
\(\Rightarrow\dfrac{\left(x-5\right)^{2018}}{\left(x-5\right)^{2016}}=9.\dfrac{\left(x-5\right)^{2016}}{\left(x-5\right)^{2016}}\)
\(\Rightarrow\left(x-5\right)^2=9\)
\(\Leftrightarrow\left(x-5\right)^2=3^2\)
\(\Rightarrow x-5=3\)
\(\Rightarrow x=3+5\)
\(\Rightarrow x=8\)
1 / 5 x 2 2 + ( x + 3 ) = 5 2
20 + ( x + 3 ) = 25
x + 3 = 5
x = 2
2 / 3 2 x 2 + ( x + 25 ) = 10 2
18 + ( x + 25 ) = 100
x + 25 = 82
x = 57
3 / 2 3 x 5 - ( x + 3 2 ) = 10
40 - ( x + 9 ) = 10
x + 9 = 30
x = 21
4 / 7 2 - 7 x ( 13 - x ) = 14
49 - 7 x ( 13 - x ) = 14
7 x ( 13 - x ) = 35
13 - x = 5
x = 8
5 / 14 x - 2 x 7 2 = 2 x 3 x 7
14 x - 98 = 42
14 x = 140
x = 10
1/ 5 x 22 + ( x + 3 ) = 52
2/ 32 x 2 + ( x + 25 ) = 102
3/ 23 x 5 - ( x + 32 ) = 10
4/ 72 - 7 x ( 13 - x ) = 14
5/ 14x - 2 x 72 = 2 x 3 x 7
1 / 5 x 2 2 + ( x + 3 ) = 5 2
20 + ( x + 3 ) = 25
x + 3 = 5
x = 2
2 / 3 2 x 2 + ( x + 25 ) = 10 2
18 + ( x + 25 ) = 100
x + 25 = 82
x = 57
3 / 2 3 x 5 - ( x + 3 2 ) = 10
40 - ( x + 9 ) = 10
x + 9 = 30
x = 21
4 / 7 2 - 7 x ( 13 - x ) = 14
49 - 7 x ( 13 - x ) = 14
7 x ( 13 - x ) = 35
13 - x = 5
x = 8
5 / 14 x - 2 x 7 2 = 2 x 3 x 7
14 x - 98 = 42
14 x = 140
x = 10
nhé !
\(7^x.7^2+2.\frac{7^x}{7}=345\)
\(343.7^x+2.7^x=7.345\)
\(345.7^x=7.345\Rightarrow7^x=7\Rightarrow x=1\)