\(5.3^x=5.3^4\)
\(5.3^x=7.3^5-2:3^5\)
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c, \(5^{x+4}-3\cdot5^{x+3}=2\cdot5^{11}\)
\(\Leftrightarrow5^{x+3}\cdot5-3\cdot5^{x+3}=2\cdot5^{11}\)
\(\Leftrightarrow5^{x+3}\left(5-3\right)=2\cdot5^{11}\)
\(\Leftrightarrow5^{x+3}\cdot2=2\cdot5^{11}\)
\(\Leftrightarrow5^{x+3}=5^{11}\)
\(\Leftrightarrow x+3=11\)
\(\Leftrightarrow x=8\)
Vậy x = 8
d, \(2^x+2^{x+1}+2^{x+2}+2^{x+3}+2^{x+4}+2^{x+5}=480\)
\(\Leftrightarrow2^x\left(1+2+2^2+2^3+2^4+2^5\right)=480\)
\(\Leftrightarrow2^x\cdot63=480\)
\(\Leftrightarrow2^x=\frac{160}{21}\)
\(\Leftrightarrow x\approx2,93\)
1) \(7.4^x=7.4^3\Leftrightarrow4^x=4^3;x=3\)
2) \(\frac{3}{2.5^x}=\frac{3}{2.5^{12}}\Leftrightarrow5^x=5^{12};x=12\)
\(2^x=2.2^8=2^9;x=9\)
4) \(5.3^x=7.3^5-2.3^5\Leftrightarrow5.3^x=3^5.\left(7-2\right)\)
\(\Leftrightarrow3^5.x=3^5.5;x=5\)
\(5\cdot3^{x+2}-5=2^4\cdot5^2\)
\(\Rightarrow5\left(3^{x+2}-1\right)=2^4\cdot5^2\)
\(\Rightarrow3^{x+2}-1=\dfrac{2^4\cdot5^2}{5}\)
\(\Rightarrow3^{x+2}-1=16\cdot5\)
\(\Rightarrow3^{x+2}-1=80\)
\(\Rightarrow3^{x+2}=80+1\)
\(\Rightarrow3^{x+2}=81\)
\(\Rightarrow3^{x+2}=3^4\)
\(\Rightarrow x+2=4\)
\(\Rightarrow x=2\)
Vậy: x = 2
\(5\cdot3^{x+2}-5=2^4\cdot5^2\\\Rightarrow 5\cdot(3^{x+2}-1)=5\cdot(2^4\cdot5)\\\Rightarrow3^{x+2}-1=2^4\cdot5\\\Rightarrow3^{x+2}-1=16\cdot5\\\Rightarrow3^{x+2}-1=80\\\Rightarrow3^{x+2}=80+1\\\Rightarrow3^{x+2}=81\\\Rightarrow3^{x+2}=3^4\\\Rightarrow x+2=4\\\Rightarrow x=4-2\\\Rightarrow x=2\\Vậy:x=2\)
5^4-3/100=1/20
3^3+2+1/3*13=3^5/13
5.3^7-5/5.3^5-3=1
2^15+14+13/2^13+12+11=2^6
5.3x = 5.34
=> x = 4
5.34 = 7.35 - 2.35
= 35 . (7 - 2)
= 5. 35
=> 3x = 35
=> x = 5