5^x-2 - 3^2=2^4 -(2^8.2^4-2^10.2^2)
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\(x\div4\frac{1}{3}=-2,5\)
\(\Leftrightarrow x\div\frac{13}{3}=\frac{-5}{2}\)
\(\Leftrightarrow x=\frac{-5}{2}.\frac{13}{3}\)
\(\Leftrightarrow x=\frac{-65}{6}\)
\(x\div\frac{-3}{5}=\frac{-10}{21}\)
\(\Leftrightarrow x=\frac{-10}{21}.\frac{-3}{5}\)
\(\Leftrightarrow x=\frac{30}{105}\)
\(\Leftrightarrow x=\frac{2}{7}\)
\(\frac{2}{3}x-\frac{1}{2}=\frac{1}{10}\)
\(\Leftrightarrow\frac{2}{3}x=\frac{1}{10}+\frac{1}{2}\)
\(\Leftrightarrow\frac{2}{3}x=\frac{6}{10}\)
\(\Leftrightarrow x=\frac{6}{10}\div\frac{2}{3}\)
\(\Leftrightarrow x=\frac{18}{20}\)
\(\Leftrightarrow x=\frac{9}{10}\)
\(\frac{1}{2}x+\frac{1}{2}=\frac{5}{2}\)
\(\Leftrightarrow\frac{1}{2}\left(x+1\right)=\frac{5}{2}\)
\(\Leftrightarrow\left(x+1\right)=\frac{5}{2}\div\frac{1}{2}\)
\(\Leftrightarrow\left(x+1\right)=5\)
\(\Leftrightarrow x=5-1\)
\(\Leftrightarrow x=4\)
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\(\left[\left(-x\right)^3\right]^4=\left(-x\right)^{12}\)
\(\left(\dfrac{-1}{2}\right)^8\times2^3=\dfrac{1}{256}\times8=\dfrac{1}{32}\)
1) \(\left[\left(-x\right)^3\right]^4=\left(-x\right)^{12}=x^{12}\)
2) \(\left(-\dfrac{1}{2}\right)^8\cdot2^3=\dfrac{1}{256}\cdot8=\dfrac{1}{32}\)
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bài 1: a) \(x^2-3=x^2-\left(\sqrt{3}\right)^2=\left(x+\sqrt{3}\right)\left(x-\sqrt{3}\right)\)
b) \(\left(a+b\right)^2-\left(a+b\right)^2=\left(a+b+a+b\right)\left(a+b-a-b\right)=2a+2b=2\left(a+b\right)\)
c) \(x^3-27b^3=\left(x-3b\right)\left(x^2+3xb+b^2\right)\)
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a) 10 - x : 2 = 1
x: 2 = 9
x = 18
b) x:4 + 3 x 2 = 7
x:4 + 6 = 7
x:4 = 1
x = 4
c) 2: x + 5 = 6
2: x = 1
x = 2
+4.10-x:2=1
40-x:2=1
x:2=40-1
x:2=39
x:2=19,5
+5.x:4+3*2=7
5.x:4+6=7
5.x:4=7-6=1
5.x=1.4=4
x=4:5
x=0,8
+6.2:x+5=6
12:x=6-5
12:x=1
x=12:1
x=12
+7.2*x*3*5=30
14.x.15=30
14.x=2
x=2:14
x=1/7
+8.2*x:10*2=1
16.x:20=1
16.x=20
x=20:16
x=1,25
9.18:x-5*2=8
10.5*5-2:x=24
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a: \(\Leftrightarrow5\sqrt{x+3}-4\sqrt{x+3}=3\sqrt{x-2}-3\sqrt{x-2}+2\)
\(\Leftrightarrow\sqrt{x+3}=2\)
=>x+3=4
hay x=1
c: \(\Leftrightarrow\left(x^2+4x\right)\left(x^2+4x-5\right)=84\)
\(\Leftrightarrow\left(x^2+4x\right)^2-5\left(x^2+4x\right)-84=0\)
\(\Leftrightarrow\left(x^2+4x\right)^2-12\left(x^2+4x\right)+7\left(x^2+4x\right)-84=0\)
\(\Leftrightarrow x^2+4x-12=0\)
=>(x+6)(x-2)=0
=>x=-6 hoặc x=2
5^x-2-3^2=16-(2^12-2^12)
5^x-2-3^2=16-0
5^x-2-3^2=16
5^x-2-9=16
5^x-2=16+9
5^x-2=25
5^x-2=5^2
x-2=2
suy ra x=4
\(5^{x-2}-3^2=2^4-\left(2^8.2^4-2^{10}.2^2\right)\)
\(5^x\div5^2-9=16-\left(2^{12}-2^{12}\right)\)
\(5^x\div25-9=16\)
\(5^x\div25=16+9\)
\(5^x\div25=25\)
\(5^x=25.25\)
\(5^x=625\)
\(5^x=5^4\)
\(\Rightarrow x=4\)