\(2^{x-2}.3^{y-3}.5^{z-1}=144=2^4.3^2.5^0\)
\(\Rightarrow\hept{\begin{cases}x-2=4\Rightarrow x=6\\y-3=2\Rightarrow y=5\\z-1=0\Rightarrow z=1\end{cases}}\)
\(2^{x-2}.3^{y-3}.5^{z-1}=144\)
mà 144 = 24.32
=> \(2^{x-2}.3^{y-3}.5^{z-1}=2^4.3^2.1=2^4.3^2.5^0\)
=> \(\hept{\begin{cases}x-2=4\\y-3=2\\z-1=0\end{cases}\Leftrightarrow\hept{\begin{cases}x=6\\y=5\\z=1\end{cases}}}\)
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