Use Mathematical Induction to Prove the Following Equality , Where $x _ { 1 } > 0 , x _ { 2 } > 0 , \ldots , x _ { n } > 0$

Essay

Use mathematical induction to prove the following equality. $\quad \ln \left( 3 ^ { n } x _ { 1 } x _ { 2 } \ldots x _ { n } \right) = \ln \left( 3 x _ { 1 } \right) + \ln \left( 3 x _ { 2 } \right) + \ldots + \ln \left( 3 x _ { n } \right)$ , where $x _ { 1 } > 0 , x _ { 2 } > 0 , \ldots , x _ { n } > 0$ $x _ { 1 } > 0 , x _ { 2 } > 0 , \ldots , x _ { n } > 0$