An Introduction to Logarithmic Functions (5.6.1)

Question 1

• Logarithms and exponential functions are inverses of each other. You can use logs to “untangle” expressions involving exponential functions.

Answer 1

• Logarithms and exponential functions are inverses of each other. You can use logs to “untangle” expressions involving exponential functions.

Question 2

• A log is an exponent: the statement y = log b x is equivalent to the statement b^y = x.

Answer 2

• A log is an exponent: the statement y = log b x is equivalent to the statement b^y = x.

Question 3

• A log written without a “b” value is the common log.
y = logx. In a common log, the “b” value is understood to be 10. In other words, y = logx is equivalent to the statement 10^y = x.

Answer 3

• A log written without a “b” value is the common log.
y = logx. In a common log, the “b” value is understood to be 10. In other words, y = logx is equivalent to the statement 10^y = x.