(0,4X-1,3)2 =53,29
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(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 = \(\frac{3,6}{0,4}=9\)
\(\left(0,4x-1,3\right)^2=5,29\)
\(\left(0,4x-1,3\right)=\sqrt{5,29}\)
\(\left(0,4x-1,3\right)=2,3\)
\(0,4x=2,3+1,3\)
\(0,4x=3,6\)
\(x=3,6:0,4\)
\(x=9\)
\(\left(0,4x-1,3\right)^2=5,29\)
\(\left(0,4x-1,3\right)^2=\left(\pm2,3\right)^2\)
+) 0,4x - 1,3 = 2,3
0,4x = 3,6
x = 9
+) 0,4x - 1,3 = -2,3
0,4x = -1
x = -2,5
Vậy,........
(0,4x - 1,3)2 = 5,29
(0,4x - 1,3)2 = 2,32
=> \(\orbr{\begin{cases}0,4x-1,3=2,3\\0,4x-1,3=-2,3\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}0,4x=3,6\\0,4x=-1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=9\\x=-\frac{5}{2}\end{cases}}\)
\(a,\left(\dfrac{3}{5}-\dfrac{2}{3}x\right)^3=-\dfrac{64}{125}\)
\(\left(\dfrac{3}{5}-\dfrac{2}{3}x\right)^3=\left(\dfrac{-4}{5}\right)^3\)
\(\dfrac{3}{5}-\dfrac{2}{3}x=-\dfrac{4}{5}\)
\(-\dfrac{2}{3}x=-\dfrac{4}{5}-\dfrac{3}{5}\)
\(-\dfrac{2}{3}x=-\dfrac{7}{5}\)
\(x=\dfrac{21}{10}\)
\(b,\left(x-\dfrac{2}{9}\right)^3=\left(\dfrac{2}{3}\right)^6\)
\(\left(x-\dfrac{2}{9}\right)^3=\left(\dfrac{4}{9}\right)^3\)
\(x-\dfrac{2}{9}=\dfrac{4}{9}\)
\(x=\dfrac{2}{3}\)
\(c,\left(0,4x-1,3\right)^2=5,29\)
\(\left(0,4x-1,3\right)^2=2,3^2=\left(-2,3\right)^2\)
TH1: \(0,4x-1,3=2,3\)
\(0,4x=3,6\)
\(x=9\)
TH2: \(0,4x-1,3=-2,3\)
\(0,4x=-1\)
\(x=-\dfrac{5}{2}\)
=.= hok tốt!!
Bài 10:
a) (1/3)n = 1/81
=> (1/3)n = (1/3)4
=> n = 4
b) -512/343 = (-8/7)n
=> (-8/7)3 = (-8/7)n
=> 3 = n (hay n = 3)
c) (-3/4)n = 81/256
=> (-3/4)n = (-3/4)4
=> n = 4
d) 64/(-2)n = (-2)3
=> 64/(-2)n = -8
=> (-2)n = -8
=> (-2)n = (-2)3
=> n = 3
Bài 11: (không có y để tìm nhé)
a) (0,4x - 1,3)2 = 5,29
=> (0,4x - 1,3)2 = (2,3)2
=> 0,4x - 1,3 = 2,3
=> 0,4x = 3,6
=> x = 9
b) (3/5 - 2/3x)3 = -64/125
=> (3/5 - 2/3x)3 = (-4/5)3
=> 3/5 - 2/3x = -4/5
=> 2/3x = 7/5
=> x = 21/10
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
\(x:60\%+0,4x=2\)
\(\Rightarrow\dfrac{5}{3}x+0,4x=2\)
\(\Rightarrow\left(\dfrac{5}{3}+0,4\right)x=2\)
\(\Rightarrow\dfrac{31}{15}x=2\)
\(\Rightarrow x=2:\dfrac{31}{15}\)
\(\Rightarrow x=\dfrac{30}{31}\)
#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
\(60\%.x-0,4.x+x:3=2\)
\(\dfrac{3}{5}.x-\dfrac{2}{5}.x+\dfrac{1}{3}.x=2\)
\(x\left(\dfrac{3}{5}-\dfrac{2}{5}+\dfrac{1}{3}\right)=2\)
\(x.\dfrac{8}{15}=2\)
\(x=2:\dfrac{8}{15}\)
\(x=\dfrac{15}{4}\)