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\(4^{x+2}.5.4=1280\Leftrightarrow4^{x+2}=\frac{1280}{5.4}\Leftrightarrow4^{x+2}=64\Leftrightarrow4^{x+2}=4^3\)
\(\Rightarrow x+2=3\Leftrightarrow x=3-2\Leftrightarrow x=1\)
4x+2.5.4=1280
4x+2.20=1280
4x+2 =1280:20
4x.42 =64
4x.16=64
4x =64:16
4x=4
=>x=1
\(2^x+2^{x+1}=96\)
\(\Rightarrow2^x\left(1+2\right)=96\)
\(\Rightarrow2^x.3=96\)
\(2^x=96:3\)
\(2^x=32\)
\(\Rightarrow2^x=2^5\)
\(x=5\)
\(2^{x+2}-2^x=96\)
\(\Rightarrow2^x\cdot2^2-2^x=96\)
\(\Rightarrow2^x\left(2^2-1\right)=96\)
\(\Rightarrow2^x\left(4-1\right)=96\)
\(\Rightarrow2^x\cdot3=96\)
\(\Rightarrow2^x=96:3\)
\(\Rightarrow2^x=32\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
\(5^x+5^{x+1}=750\)
\(\Rightarrow5^x+5^x\cdot5=750\)
\(\Rightarrow5^x\left(1+5\right)=750\)
\(\Rightarrow5^x\cdot6=750\)
\(\Rightarrow5^x=750:6\)
\(\Rightarrow5^x=125\)
\(\Rightarrow5^x=5^3\)
\(\Rightarrow x=3\)
\(2^{x+3}+2^x=144\)
\(\Rightarrow2^x\cdot2^3+2^x=144\)
\(\Rightarrow2^x\left(2^3+1\right)=144\)
\(\Rightarrow2^x\cdot9=144\)
\(\Rightarrow2^x=144:9\)
\(\Rightarrow2^x=16\)
\(\Rightarrow2^x=2^4\)
\(\Rightarrow x=4\)
x + 18 : 32 =5.42
x + 18 : 9 = 80
x + 2 = 80
x = 80 - 2
x = 78
\(\text{vậy x bằng 78 đúng rồi đó}\)
\(x+18:3^2=5.4^2\)
\(\Rightarrow x+18:9=80\)
\(\Rightarrow x+2=80\)
\(\Rightarrow x=80-2=78\)
Vậy x = 78
\(4^{x+2}\cdot5\cdot4^x=1280\)
\(\Leftrightarrow4^x\cdot16\cdot5\cdot4^x=1280\)
\(\Leftrightarrow4^{2x}\cdot80=1280\)
\(\Leftrightarrow4^{2x}=16\)
\(\Leftrightarrow4^{2x}=4^2\)
\(\Leftrightarrow2x=2\)
\(\Leftrightarrow x=1\)
vậy........