\(8.3^x+3.2^x-6^x=24\)
\(\Rightarrow8.3^x+3.2^x-6^x-24=0\)
\(\Rightarrow\left(8.3^x-2^x.3^x\right)-\left(24-3.2^x\right)=0\)
\(\Rightarrow3^x\left(8-2^x\right)-3\left(8-2^x\right)=0\Rightarrow\left(8-2^x\right)\left(3^x-3\right)=0\)
\(\Rightarrow\orbr{\begin{cases}2^x=8\\3^x=3\end{cases}\Rightarrow}\orbr{\begin{cases}x=3\\x=1\end{cases}}\)
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