Question

GIÚP MÌNH NHA ><

​​3 mũ x-1 + 5.3 mũ x-1 = 162

CẢM ƠN CÁC BẠN TRƯỚC

 

Answer 1

\(3^{x-1}+5.3^{x-1}=162\)

\(\Rightarrow3^{x-1}\left(5+1\right)=162\)

\(\Rightarrow3^{x-1}.6=162\)

\(\Rightarrow3^{x-1}=27\)

\(\Rightarrow3^{x-1}=3^3\)

\(\Rightarrow x-1=3\)

\(\Rightarrow x=4\)

Answer 2

\(3^{x-1}+5.3^{x-1}=162\Rightarrow3^{x-1}\left(1+5\right)=162\Rightarrow3^{x-1}.6=162\)

\(\Rightarrow3^{x-1}=162:6\Rightarrow3^{x-1}=27\Rightarrow x-1=3\Rightarrow x=4\)