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  2. Topic
    Mathematics
  3. Study Set
    Applied Calculus Study Set 1
  4. Exam
    Exam 5: Exponential and Logarithmic Functions
  5. Question
    Use the Definition of a Logarithm to Prove
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Use the Definition of a Logarithm to Prove

Question 49

Question 49

Multiple Choice

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


A) 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  so that 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 by definition, 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  ; that is 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
B) 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  so that 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 by definition, 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  ; that is 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
C) 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  so that 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 by definition, 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  ; that is 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

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