2.9-2.11 Flashcard Review

Front

Evaluate log₄1

Back

0

Front

What is the base of the natural logarithm?

Back

e

Front

Rewrite log₂8 = 3 in exponential form.

Back

2³ = 8

Front

Logarithmic functions are the inverse of what?

Back

Exponential Functions

Front

What is log(-1)?

Back

does not exist

Front

What is the definition of a logarithm?

Back

A logarithm is the power to which a number must be raised to obtain another number.

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 value of log₁₀10?

Back

1

Front

If logₐb = c, what is the equivalent exponential form?

Back

a^c = b

Front

What is the domain of a logarithmic function?

Back

The domain is all positive real numbers.