Logarithmic Functions

Front

What is the vertical asymptote of logarithmic functions?

Back

The vertical asymptote of logarithmic functions is at x=0.

Tags

CCSS.HSF-IF.C.7E

Front

How do you rewrite log_pt = m in exponential form?

Back

In exponential form, it is p^m = t.

Tags

CCSS.HSF.BF.B.5

Front

What is the value of log₄1?

Back

The value of log₄1 is 0.

Front

What is the value of log₅25?

Back

The value of log₅25 is 2.

Front

What is the value of log_b(b)?

Back

The value of log_b(b) is 1.

Front

What is the definition of a logarithm?

Back

A logarithm is the inverse operation to exponentiation, indicating the power to which a base must be raised to obtain a given number.

Tags

CCSS.HSF.BF.B.5

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to produce a given number.

Front

What is the change of base formula for logarithms?

Back

The change of base formula is log_ab = log_cb / log_ca for any positive c.

Front

What is the product rule for logarithms?

Back

The product rule states that log_a(xy) = log_ax + log_ay.

Front

What is the quotient rule for logarithms?

Back

The quotient rule states that log_a(x/y) = log_ax - log_ay.