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Use Mathematical Induction to Prove the Following Equality , Where x1>0,x2>0,,xn>0x _ { 1 } > 0 , x _ { 2 } > 0 , \ldots , x _ { n } > 0

question 20

Essay

Use mathematical induction to prove the following equality. ln(3nx1x2xn)=ln(3x1)+ln(3x2)++ln(3xn)\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 x1>0,x2>0,,xn>0x _ { 1 } > 0 , x _ { 2 } > 0 , \ldots , x _ { n } > 0 x1>0,x2>0,,xn>0x _ { 1 } > 0 , x _ { 2 } > 0 , \ldots , x _ { n } > 0

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