tim x biet (2/5)^x>(2/5)^3.(-2/5)^2
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A, 70 - 5 . ( x - 3 ) = 45
5.( x - 3 ) = 70 - 45
5. ( x - 3 ) = 25
x - 3 = 25 : 5
x - 3 = 5
x = 5 + 3
x = 8
B, 52x - 3 - 2.52 = 52.3
52x - 3 - 2.25 = 25.3
52x - 3 - 50 = 75
52x - 3 = 75 + 50
52x - 3 = 125
52x - 3 = 53
2x - 3 = 3
2x = 3 + 3
2x = 6
x = 6 : 2
x = 3
Ta có: \(\left(\frac{2}{5}\right)^x>\left(\frac{2}{5}\right)^3\cdot\left(-\frac{2}{5}\right)^2\)
\(\Leftrightarrow\left(\frac{2}{5}\right)^x>\left(\frac{2}{5}\right)^3\cdot\left(\frac{2}{5}\right)^2\)
\(\Leftrightarrow\left(\frac{2}{5}\right)^x>\left(\frac{2}{5}\right)^5\)
\(\Leftrightarrow x< 5\)
Vậy x < 5
\(\Leftrightarrow\left(2x+3-2x+5\right)^2=x^2+6x+64\)
=>x^2+6x=0
=>x(x+6)=0
=>x=0 hoặc x=-6
20 . 2^x + 1 = 10.4^2 + 1
20 . 2^x + 1 = 10 . 16 + 1
20 . 2^x + 1 = 161
20 . 2^x = 161 - 1
20 . 2^x = 160
2^x = 8
2^x = 2^3
=> x = 3
\(\dfrac{5}{6}-\dfrac{1}{2}\left(x-\dfrac{1}{3}\right)-\dfrac{2}{5}x=0\Rightarrow\dfrac{1}{2}\left(x-\dfrac{1}{3}\right)-\dfrac{2}{5}x=\dfrac{5}{6}\)
\(\Rightarrow\dfrac{1}{2}x-\dfrac{1}{6}-\dfrac{2}{5}x=\dfrac{5}{6}\Rightarrow\dfrac{1}{2}x-\dfrac{2}{5}x=\dfrac{5}{6}+\dfrac{1}{6}=1\)
\(\Rightarrow x\left(\dfrac{1}{2}-\dfrac{2}{5}\right)=1\Rightarrow\dfrac{1}{10}x=1\Rightarrow x=1:\dfrac{1}{10}=10\)
Vậy x = 10
\(4x-3-x-5-=x+2-2x+2.10\)
\(3x-8=x+2-2x+20\)
\(3x=x+10-2x+20\)
\(3x=-x+30\)
\(4x=30\)
\(x=\frac{30}{4}=7,5\)
Do (-x)^2 = x^2 nên:
=> (2/5)^x > (2/5)^3 × (2/5)^2
=> (2/5)^x > (2/5)^5
=> x > 5 (t/ m).
Chúc bạn học tốt!!😀😀
ooooo thanks