a/ \(3^{x+2}+3^x=10\)
\(\Leftrightarrow3^x.\left(3^2+1\right)=10\)
\(\Leftrightarrow3^x.10=10\)
\(\Leftrightarrow3^x=1\)
\(\Leftrightarrow3^x=3^0\)
\(\Leftrightarrow x=0\)
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b/ \(4.2^x+2^x=80\)
\(\Leftrightarrow2^x\left(4+1\right)=80\)
\(\Leftrightarrow2^x.5=80\)
\(\Leftrightarrow2^x=16\)
\(\Leftrightarrow2^x=2^4\)
\(\Leftrightarrow x=4\)
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c/ \(\left(x+5\right)\left(x-6\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+5=0\\x-6=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-5\\x=6\end{matrix}\right.\)
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