Characteristics of Logarithmic Functions

Front

Logarithmic functions are the inverse of...

Back

Exponential Functions.

Front

Find the domain and range of: f(x) = log_2(x)

Back

Domain: x > 0; Range: all real numbers.

Front

Describe the domain of the function shown: y=log_2(x+1)

Back

Domain: (-1, ∞).

Front

What is the end behavior of the function f(x) = log_{1/2}(x)?

Back

As x → 0, f(x) → ∞; As x → ∞, f(x) → -∞.

Front

What is the base of a logarithmic function?

Back

The base is the number that is raised to a power to obtain a given value.

Front

What is the logarithmic identity: log_b(b^x)?

Back

log_b(b^x) = x.

Front

What is the change of base formula for logarithms?

Back

log_b(a) = log_k(a) / log_k(b) for any base k.

Front

What is the product property of logarithms?

Back

log_b(MN) = log_b(M) + log_b(N).

Front

What is the quotient property of logarithms?

Back

log_b(M/N) = log_b(M) - log_b(N).

Front

What is the power property of logarithms?

Back

log_b(M^p) = p * log_b(M).