Practice: Intro to Log Functions

Front

What is a logarithmic function?

Back

A logarithmic function is the inverse of an exponential function, typically written as y = log_b(x), where b is the base.

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a given number. For example, in log_b(x), b is the base.

Tags

CCSS.HSF.BF.B.5

Front

What is the domain of log(x)?

Back

The domain of log(x) is (0, ∞), meaning it only accepts positive real numbers.

Front

What is the range of log(x)?

Back

The range of log(x) is (-∞, ∞), meaning it can take any real number value.

Front

What is the vertical asymptote of y = log_b(x)?

Back

The vertical asymptote of y = log_b(x) is x = 0.

Tags

CCSS.HSF-IF.C.7E

Front

What happens to the value of log(x) as x approaches 0 from the right?

Back

As x approaches 0 from the right, log(x) approaches -∞.

Tags

CCSS.HSF-IF.C.7E

Front

What is the value of log_b(1)?

Back

The value of log_b(1) is 0 for any base b.

Front

What is the value of log_b(b)?

Back

The value of log_b(b) is 1 for any base b.

Front

How do you convert an exponential equation to a logarithmic equation?

Back

To convert an exponential equation a^c = b to logarithmic form, write it as log_a(b) = c.

Tags

CCSS.HSF.BF.B.5

Front

What is the product rule of logarithms?

Back

The product rule states that log_b(xy) = log_b(x) + log_b(y).