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Use the Definition of a Logarithm to Prove

question 49

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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:

Electrophilic Iodination

A chemical reaction involving the addition of iodine to a substrate via an electrophilic attack.

Aromatic Ring

A stable, planar ring of carbon atoms interconnected by alternating single and double bonds, exhibiting delocalized π-electron cloud.

HNO3

Nitric acid, a highly corrosive and toxic strong acid used in the production of fertilizers, explosives, and in the production of other chemicals.

Reactivity

The inclination of a material to participate in chemical changes, alone or in combination with other elements, leading to the liberation of energy.

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