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a: \(\Leftrightarrow3^x\cdot\left(\dfrac{2}{3}\cdot3-7\right)=405\)
\(\Leftrightarrow3^x=-81\)(vô lý)
b: \(\left(0,4x-1,3\right)^2=5,29\)
=>0,4x-1,3=2,3 hoặc 0,4x-1,3=-2,3
=>0,4x=3,6 hoặc 0,4x=-1
=>x=9 hoặc x=-2,5
c: \(5\cdot2^{x+1}\cdot2^{-2}-2^x=284\)
\(\Leftrightarrow2^x\cdot5\cdot2\cdot2^{-2}-2^x=284\)
\(\Leftrightarrow2^x\cdot\left(\dfrac{5}{2}-1\right)=284\)
\(\Leftrightarrow2^x=\dfrac{568}{3}\)(vô lý)
d: \(\Leftrightarrow4^x\left(1+4^3\right)=4160\)
\(\Leftrightarrow4^x=64\)
hay x=3
a/ \(\frac{2}{3}.3^{x+1}-7.3^x=405\)
<=> 2.3x-7.3x=-405
<=> 5.3x=405
<=> 3x=81 = 34
=> x=4
b/ (0,4x-1,3)2=5,29=(2,3)2
=> \(\hept{\begin{cases}0,4x-1,3=2,3\\0,4x-1,3=-2,3\end{cases}}\)=> \(\hept{\begin{cases}x=9\\x=-\frac{5}{2}\end{cases}}\)
c/ 5.2x+1.2-2-2x=384
<=> 5.2x-1-2.2x-1=384
<=> 3.2x-1=384
<=> 2x-1=128=27
=> x-1=7 => x=8
d/ 3x+2.5y=45x
<=> 3x+2.5y=32x.5x
=> \(\hept{\begin{cases}x+2=2x\\x=y\end{cases}}\)=> x=y=2
\(x:60\%+0,4x=2\)
\(\Rightarrow\dfrac{5}{3}x+0,4x=2\)
\(\Rightarrow\left(\dfrac{5}{3}+0,4\right)x=2\)
\(\Rightarrow\dfrac{31}{15}x=2\)
\(\Rightarrow x=2:\dfrac{31}{15}\)
\(\Rightarrow x=\dfrac{30}{31}\)
#DarkPegasus
60% + 0,4x=2
0,4x=2-60%
0,4x=2-0,6
0,4x=1,4
x=1,4:0,4
x=3,5
Vậy:...
nhớ ticks nhe
\(60\%.x-0,4.x+x:3=2\)
\(\dfrac{3}{5}.x-\dfrac{2}{5}.x+\dfrac{1}{3}.x=2\)
\(x\left(\dfrac{3}{5}-\dfrac{2}{5}+\dfrac{1}{3}\right)=2\)
\(x.\dfrac{8}{15}=2\)
\(x=2:\dfrac{8}{15}\)
\(x=\dfrac{15}{4}\)
60%x + 0,4x + x:3 = 2
\(\frac{3}{5}x+\frac{2}{5}x+\frac{1}{3}x=2\)
\(\left(\frac{3}{5}+\frac{2}{5}+\frac{1}{3}\right)x=2\)
\(\frac{4}{3}x=2\)
\(x=2:\frac{4}{3}\)
\(x=\frac{3}{2}\)
(0,4x - 1,3 )2 = 5,29 = (2,3)2
=> 0,4x - 1,3 = 2,3
=> 0,4x = 2,3 +1,3 = =3,6
=> x = \(\frac{3,6}{0,4}=9\)
\(\left(0,4x-1,3\right)^2=5,29\)
\(\left(0,4x-1,3\right)=\sqrt{5,29}\)
\(\left(0,4x-1,3\right)=2,3\)
\(0,4x=2,3+1,3\)
\(0,4x=3,6\)
\(x=3,6:0,4\)
\(x=9\)