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Use the Definition of a Logarithm to Prove

question 102

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Use the definition of a logarithm to prove Use the definition of a logarithm to prove   .Hint: Let   and   .Then,   and   . A) Let   and   so that   and   .Then   and by definition,   ; that is   . B) Let   and   so that   and   .Then   and by definition,   ; that is   . C) Let   and   so that   and   .Then   and by definition,   ; that is   . .Hint: Let Use the definition of a logarithm to prove   .Hint: Let   and   .Then,   and   . A) Let   and   so that   and   .Then   and by definition,   ; that is   . B) Let   and   so that   and   .Then   and by definition,   ; that is   . C) Let   and   so that   and   .Then   and by definition,   ; that is   . and Use the definition of a logarithm to prove   .Hint: Let   and   .Then,   and   . A) Let   and   so that   and   .Then   and by definition,   ; that is   . B) Let   and   so that   and   .Then   and by definition,   ; that is   . C) Let   and   so that   and   .Then   and by definition,   ; that is   . .Then, Use the definition of a logarithm to prove   .Hint: Let   and   .Then,   and   . A) Let   and   so that   and   .Then   and by definition,   ; that is   . B) Let   and   so that   and   .Then   and by definition,   ; that is   . C) Let   and   so that   and   .Then   and by definition,   ; that is   . and Use the definition of a logarithm to prove   .Hint: Let   and   .Then,   and   . A) Let   and   so that   and   .Then   and by definition,   ; that is   . B) Let   and   so that   and   .Then   and by definition,   ; that is   . C) Let   and   so that   and   .Then   and by definition,   ; that is   . .


Definitions:

Northwest Territory

A historical region in the United States that encompassed land west of Pennsylvania, north of the Ohio River, and east of the Mississippi River, designated for future expansion.

Sovereign Nation

A politically independent state or country recognized by other nations, having full control over its own territory and government without external influence.

Barbary Leaders

The rulers of the Barbary States in North Africa, known in the early modern period for their engagement in piracy and slave trade, impacting European and American shipping.

Pirating

The unauthorized use, reproduction, or distribution of copyrighted or patented material.

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