\(\Leftrightarrow3^{x-1}\left(1+5\right)=162\)
\(\Leftrightarrow3^{x-1}.6=162\)
\(\Leftrightarrow3^{x-1}=27\)
\(\Leftrightarrow x-1=3\)
\(\Leftrightarrow x=3+1=4\)
\(3^{x-1}+5.3^{x-1}=162\)
\(3^{x-1}.\left(1+5\right)=162\)
\(3^{x-1}.6=162\)
\(3^{x-1}=27\)
\(3^{x-1}=3^3\)
\(\Leftrightarrow x-1=3\)
\(x=4\)
Vậy x = 4
\(3^{x-1}\)+5.\(3^{x-1}\)=162
\(\Rightarrow\)\(3^{x-1}\).(1+5)=162
\(\Rightarrow\)\(3^{x-1}\).6=162
\(\Rightarrow\)\(3^{x-1}\)=27
\(\Rightarrow\)\(3^x\):3=27
\(\Rightarrow\)\(3^x\)=\(3^2\)
\(\Rightarrow\)x=2
vậy x=2
\(3^{x-1}+5.3^{x-1}=162\)
\(3^{x-1}.\left(5+1\right)=162\)
\(3^{x-1}.6=162\)
\(3^{x-1}=27=3^3\)
\(\Rightarrow x-1=3\)
\(x=4\)
\(3^{x-1}\left(1+5\right)=162\)
\(3^{x-1}=162:6=27\)
\(x-1=3\)
=> x = 4
