\(a,3.8^x-2.2^{3x}-16=0\)
\(\Leftrightarrow3.\left(2^3\right)^x-2.2^{3x}=16\)
\(\Leftrightarrow3.2^{3x}-2^{3x}=16\)
\(\Leftrightarrow2^{3x}\left(3-1\right)=16\)
\(\Leftrightarrow2^{3x+1}=2^4\)
\(\Leftrightarrow3x+1=4\)
\(\Leftrightarrow3x=3\)
\(\Leftrightarrow x=1\)
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