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=>|x-3|+5|x-3|=360
=>|x-3|=60
=>x-3=60 hoặc x-3=-60
=>x=63 hoặc x=-57
\(\left(2x-1\right)^6=\left(2x-1\right)^8\)
\(\Leftrightarrow\left(2x-1\right)^6-\left(2x-1\right)^8=0\)
\(\Leftrightarrow\left(2x-1\right)^6\left[1-\left(2x-1\right)^2\right]=0\)
\(\Rightarrow2x-1=0\)hoặc \(2x-1=1\)hoặc \(2x-1=-1\)
\(\Rightarrow x=\frac{1}{2}\)hoặc \(x=1\)hoặc \(x=0\)
\(\frac{1}{2}\cdot2^x+2^x\cdot2^2=2^8+2^5\)
\(2^x\left(\frac{1}{2}+4\right)=2^8+2^5\)
\(2^x\cdot\frac{9}{2}=288\)
\(2^x=64\)
\(2^x=2^6\)
\(x=6\)
\(9^x:3^x=3^7\)
\(3^{2x}:3^x=3^7\)
\(3^x=3^7\)
\(x=7\)
\(7^{x+2}+2\cdot7^{x-1}=345\)
\(7^x\cdot7^2+2\cdot7^x:7=345\)
\(7^x\left(7^2+\frac{2}{7}\right)=345\)
\(7^x\cdot\frac{345}{7}=345\)
\(7^x=7\)
\(x=1\)
a) 1/2.2^x + 2^x+2 = 256 + 32
1/2.2^x + 2^2.2^x=288
2^x(1/2+4)= 288
2^x.4,5=288
2^x= 288:4,5
2^x=64=2^6
x=6
a)
\(\dfrac{-2}{3}\cdot\left(x-\dfrac{1}{4}\right)=\dfrac{1}{3}\cdot\left(2x-1\right)\\ \dfrac{-2}{3}x-\left(\dfrac{-1}{6}\right)=\dfrac{2}{3}x-\dfrac{1}{3}\\ \dfrac{-2}{3}x+\dfrac{1}{6}=\dfrac{2}{3}x-\dfrac{1}{3}\\ \dfrac{-2}{3}x-\dfrac{2}{3}x=\dfrac{-1}{3}-\dfrac{1}{6}\\ -x\cdot\left(\dfrac{2}{3}+\dfrac{2}{3}\right)=\dfrac{-2}{6}-\dfrac{1}{6}\\ \dfrac{-4}{3}x=\dfrac{-1}{2}\\ x=\dfrac{-1}{2}:\dfrac{-4}{3}\\ x=\dfrac{-1}{2}\cdot\dfrac{-3}{4}\\ x=\dfrac{3}{8}\)
\(b)\left(x-3\right)^3=125^2\)
\(\Rightarrow\left(x-3\right)^3=5^{3^2}\)
\(\Rightarrow\left(x-3\right)^3=25^3\)
\(\Rightarrow x-3=25\)
\(\Rightarrow x=28\)
\(7^{x-1+3}+2.7^{x-1}=345\Leftrightarrow7^{x-1}\left(7^3+2.1\right)=345\)
\(\Leftrightarrow7^{x-1}.345=345\Leftrightarrow7^{x-1}=1\Leftrightarrow7^{x-1}=7^0\Leftrightarrow x-1=0\Rightarrow x=1\)
Vậy x= 1
=> \(7^{x-1}.7^3+2.7^{x-1}=345\)
=> \(7^{x-1}.\left(7^3+2\right)=345\)
=> \(7^{x-1}.345=345\Rightarrow7^{x-1}=1\Rightarrow x-1=0\) => x = 1
\(531-\left(2\cdot x-8\right)=345:15\)
\(\Rightarrow531-\left(2\cdot x-8\right)=23\)
\(\Rightarrow2\cdot x-8=531-23\)
\(\Rightarrow2x=508+8\)
\(\Rightarrow x=\dfrac{516}{2}=258\)
`531 - (2.x - 8) = 345 :15`
`=> 531 - (2.x - 8) = 23`
`=> 2.x-8=531-23`
`=> 2.x-8=508`
`=> 2.x=508+8`
`=>2.x=516`
`=>x=516:2`
`=>x= 258`
` @`\(Mika^{ict}\)