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a) \(\left(3x-3^4\right).7^5=3.7^7\)
\(3x-3^4=3.\left(7^7:7^5\right)\)
\(3x-3^4=3.7^2\)
\(3x-3^4=3.49\)
\(3x-81=147\)
\(3x=147+81\)
\(3x=228\)
\(x=228:3\)
\(x=76\)
b) \(4^{2x-5}-3.4^2=4^2\)
\(4^{2x-5}-3.16=16\)
\(4^{2x-5}-48=16\)
\(4^{2x-5}=16+48\)
\(4^{2x-5}=64\)
\(4^{2x-5}=4^3\)
\(2x-5=3\)
\(2x=3+5\)
\(2x=8\)
\(x=8:2\)
\(x=4\)
\(5^{2x-3}-2.5^2=5^2.3\)
\(5^{2x-3}-2.25=25.3\)
\(5^{2x-3}-50=75\)
\(5^{2x-3}=75+50\)
\(5^{2x-3}=125\)
\(5^{2x-3}=5^3\)
\(2x-3=3\)
\(2x=3+3\)
\(2x=6\)
\(x=6:2\)
\(x=3\)
a,(3x-3^4).7^5=3.7^7 b,4^2x-3 -3.4^2=4^2 c,5^2x-3 -2.5^2=5^2.3
3x-3^4=(3.7^7):7^5 4^2x-3 -3.16=16 5^2x-3-2.25=25.3
3x-81=3.7^2 4^2x-3-48=16 5^2x-3-50=75
3x-81=3.49 4^2x-3=16+48 5^2x-3=75+50
3x-81=147 4^2x-3=64 5^2x-3=125
3x=147+81 4^2x-3=4^3 5^2x-3=5^3
3x=228 2x-3=3 2x-3=3
x=228:3 2x=3+3 2x=3+3
x=76 2x=6 2x=6
Vậy=76 x=6:2 x=6:2
x=3 x=3
Vậy x=3 Vậy x=3
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\(27+\left(220-6x\right).3=615\)
\(\rightarrow\left(220-6x\right).3=615-27=588\)
\(\rightarrow220-6x=588:3=196\)
\(\rightarrow6x=220-196=24\)
\(\rightarrow x=24:6=4\)
\(315-\left(x-3\right).7=210\)
\(\Rightarrow\left(x-3\right).7=315-210=105\)
\(\Rightarrow x-3=105:7=15\)
\(\Rightarrow x=15+3=18\)
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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, \(\left(x-5\right)^{2018}=9.\left(x-5\right)^{2016}\)
\(\Rightarrow\dfrac{\left(x-5\right)^{2018}}{\left(x-5\right)^{2016}}=9.\dfrac{\left(x-5\right)^{2016}}{\left(x-5\right)^{2016}}\)
\(\Rightarrow\left(x-5\right)^2=9\)
\(\Leftrightarrow\left(x-5\right)^2=3^2\)
\(\Rightarrow x-5=3\)
\(\Rightarrow x=3+5\)
\(\Rightarrow x=8\)
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Ta có : (6x - 34) . 73 = 3.74
=> (6x - 34) = 3.7
=> (6x - 34) = 21
=> 6x - 81 = 21
=> 6x = 102
=> x = 17
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2x - 23.32 = 138
2x - 72 = 138
2x = 138 + 72
2x = 200
x = 200 ÷ 2
x = 100
( 6.x - 34 ).73= 3.74
( 6x - 34 ).343 = 7203
6x - 34 = 7203 ÷ 343
6x - 34 = 21
6x = 21 + 34
6x = 55
x = 55 ÷ 6
x = 55/6
a,2x-23.32=138
2x-72=138
2x=66
x=66:2
x=33
Vậy x=33
b,(6x-34).73=3.74
(6x-34).343=7203
6x-34=21
6x=21+34
6x=55
x=55:6
x=\(\frac{55}{6}\)
Vậy x=\(\frac{55}{6}\)
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a) \(2x-2^3.3^2=138\)
\(\Rightarrow2x=138+2^3.3^2\)
\(\Rightarrow2x=210\)
\(\Rightarrow x=105\)
Vậy x = 105.
a)2x-96=138
2x=174
x=87
b)(6x-81).343=147
2058x-27783=147
2058x=27930
x=13,57
cần ngay bây h