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

question 58

Essay

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

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