Evaluating Logarithmic Functions (5.3.1)

Question 1

• Remember: The change of base theorem, log b x = (log a x)/(log a b), allows you to revise a logarithm problem to be in a base that is easier to use in solving the problem.

Answer 1

• Remember: The change of base theorem, log b x = (log a x)/(log a b), allows you to revise a logarithm problem to be in a base that is easier to use in solving the problem.

Question 2

• A logarithm indicates the exponent to which you raise a certain base to produce a given value. The inverse of a logarithmic function is an exponential function.

Answer 2

• A logarithm indicates the exponent to which you raise a certain base to produce a given value. The inverse of a logarithmic function is an exponential function.

Question 3

• Logs to the base 10 are written without a base. Logs to the base e are indicated by the symbol “ln.”
• logB(AC) = logBA + logBC
• logB(A/C) = logBA − logBC
• logB(AC) = ClogBA

Answer 3

• Logs to the base 10 are written without a base. Logs to the base e are indicated by the symbol “ln.”
• logB(AC) = logBA + logBC
• logB(A/C) = logBA − logBC
• logB(AC) = ClogBA