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

Question

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

Quizplus · Accepted Answer

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

Use Mathematical Induction to Prove the Following Equality