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\(3^x-3^{x+3}=-234\)
\(=>3^x-3^x.3^3=-234\)
\(=>3^x.\left(1-3^3\right)=-234\)
\(=>3^x.\left(1-27\right)=-234\)
\(=>3^x.-26=-234\)
\(=>3^x=\left(-234\right):\left(-26\right)\)
\(=>3^x=9=3^2\)
\(=>x=2\)
\(#NqHahh\)
3^x-3^x.27=-234
3^x.(1-27)=-234
3^x.(-26)=-234
3^x=234:26
3^x=9
=>3^x=3^3
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\(4^x+4^{x+1}=320\\ \Leftrightarrow4^x.\left(1+4\right)=320\\ \Leftrightarrow4^x.5=320\\ \Leftrightarrow4^x=\dfrac{320}{5}=64=4^3\\ Vậy:x=3\\ ----\\ 3^{x+3}-3^x=234\\ \Leftrightarrow3^x\left(3^3-1\right)=234\\ \Leftrightarrow3^x.26=234\\ \Leftrightarrow3^x=\dfrac{234}{26}=9=3^2\\ vậy:x=2\)
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a) 3^x.9^6=3^14 b,27^9.(3^x) = 3^31
=3^x.3^12=3^14 =>3^27.(3^x)^2=3^31
=> 3^x+12=3^14 => (3^x)^2=3^31.3^27
=> x=2 =>(3^x)^2=3^4=>2^x=4
=>x=2
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\(\left(x+1\right)^3=2^3.3+3\)
\(\Rightarrow\left(x+1\right)^3=24+3=27=3^3\)
\(\Rightarrow x+1=3\Rightarrow x=2\)
\(5+2.3^x+2=23\)
\(\Rightarrow7+2.3^x=23\)
\(\Rightarrow2.3^x=23-7=16\)
\(\Rightarrow3^x=8.\)
Mà số 3 lũy thừa mấy cũng không thể bằng 8 => x không thỏa mãn.
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* \(3^3.4^3-3=27.64-3=1728-3=1725\)
* \(234-12=222\)
Tíck cho mìk vs nhá o0o Phương Uyên o0o!
33 x 43 -3
= (4 x 3)3 - 3
= 123 - 3
= 1728 - 3
= 1725
234 - 12 = 222
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a, \(5^{x-1}=100:2^2\)\(->5^{x-1}=25\\ ->5^{x-1}=5^2\)\(->x-1=2\\ x=2\)
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1: 7-x=8+(-7)
=>7-x=8-7=1
=>x=7-1=6
2: \(x-8=\left(-3\right)-8\)
=>x-8=-11
=>\(x=-11+8=-3\)
3: \(2-x=10-9+23\)
=>\(2-x=33-9=24\)
=>x=2-24=-22
4: \(-2-x=15\)
=>\(x=-2-15=-17\)
5: \(-7+x-8=-3-1+13\)
=>x-14=13-4=9
=>x=9+14=23
6: 100-x+7=-x+3
=>107-x=3-x
=>107=3(vô lý)
7: \(23+x=8-2x\)
=>\(x+2x=8-23\)
=>3x=-15
=>x=-15/3=-5
3^x-3^(x+3)
=3^x-3^x.3^3
=3^x(1-27)
=3^x.-26=-234
3^x=-234.-26=6084
Đề sai r bn 3^x ko tận cùng là chẵn đc
3x - 3x+3 = -234
3x - 3x . 33 = -234
3x - 3x . 27 = - 234
3x ( 1 - 27 ) = - 234
3x . ( - 26 ) = -234
3x = ( -234 ) : ( - 26 )
3x = 9
3x = 32
=> x = 2
Vậy x = 2