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3\(^x\) = \(\dfrac{9^4}{81^3}\)
3\(^x\) = \(\dfrac{\left(3^2\right)^4}{\left(3^4\right)^3}\)
3\(^x\) = \(\dfrac{3^8}{3^{12}}\)
3\(^x\) = 3-4
\(x\) = -4
Vậy \(x\) = -4
=> 3x . 31 + 3x . 32 = 92 . 4
=> 3x . ( 31 + 32 ) = 81.4
=> 3x . 12 = 324
=> 3x = 324 : 12
=> 3x = 27
=> 3x = 33
=> x = 3
\(3^{x+1}=\left(\dfrac{1}{81}\right)^2=\left(3^{-4}\right)^2=3^{-8}\)
\(\Rightarrow x+1=-8\Rightarrow x=-9\)
`#3107.101107`
\(\left(3^x-81\right)\left(x^2+1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}3^x-81=0\\x^2+1=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}3^x=81\\x^2=-1\left(\text{vô lý}\right)\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}3^x=3^3\\x\in\varnothing\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=3\\x\in\varnothing\end{matrix}\right.\)
Vậy, `x = 3.`
\(\left(12x-5\right)\left(4x-1\right)\left(3x-7\right)\left(1-16x\right)=81\)
\(\Rightarrow\left(48x^2-12x-20x+5\right)\left(3x-7\right)\left(1-16x\right)=81\)
\(\Rightarrow\left(48x^2-32x+5\right)\left(3x-7\right)\left(1-16x\right)=81\)
\(\Rightarrow\left(144x^3-336x^2-96x^2+224x+15x-35\right)\left(1-16x\right)=81\)
\(\Rightarrow\left(144x^3-432x^2+239x-35\right)\left(1-16x\right)=81\)
\(\Rightarrow144x^3-2304x^4-432x^2+6912x^3+239x-3824x^2-35+560x=81\)
\(\Rightarrow-2304x^4+7056x^3-4256x^2+799x-116=0\)
\(\Rightarrow\left[{}\begin{matrix}x_1\approx2,3\\x_2\approx0,5\end{matrix}\right.\)
Bài làm
a) 3x : 9 = 391
=> 3x : 32 = 391
=> 3x = 391 x 32
=> 3x = 393
=> x = 393 : 3
=> x = 392
Vậy x = 392
b) 81 : 3x + 1 = 9
81 : 3x = 9 - 1
81 : 3x = 8
3x = 81 : 8
3x = 10,125
x = 10,125 : 3
x = 3,375
Vậy x = 3,375
# Học tốt #
a ) \(3x:9=3^{91}\)
\(\Rightarrow3x:3^2=3^{91}\)
\(3x=3^{91}.3^2\)
\(3x=3^{93}\)
\(x=3^{93}:3\)
\(x=3^{92}\)
Vậy \(x=3^{92}\)
b ) \(81:3x+1=9\)
\(27x+1=9\)
\(27.x=9-1\)
\(27.x=8\)
\(x=8:27\)
\(x=\frac{8}{27}\)
Vậy \(x=\frac{8}{27}\)
Chúc bạn học tốt !!!
\(\Rightarrow\left(\dfrac{33}{11}\right)^{2x}=81\Rightarrow3^{2x}=3^4\Rightarrow x=2\)
\(81.3^{x-1}=3^3.9^4\)\(\Rightarrow3^4.3^{x-1}=3^3.3^8\)
\(\Rightarrow3^{4+x-1}=3^{3+8}\Rightarrow\)\(3^{x+3}=3^{11}\Rightarrow x+3=11\)
\(\Rightarrow x=8\). Học tốt =)
cảm ơn bạn nha