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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Definitions:

Intra-company Analysis

The process of comparing and analyzing financial statements and operational metrics within the same company over different periods.

Competitors

Entities or businesses that offer similar or substitute products or services in the same market, vying for the same potential customer base.

Evidential Matter

Information and documentation that supports financial statements and is used by auditors to validate the accuracy and completeness of financial records.

Assumptions

Premises or accepted facts upon which reasoning, behaviors, or calculations are based.