Unit 6 Inverse of Logarithmic and Exponential Functions

Front

What is the inverse of the logarithmic function?

Back

Exponential function.

Tags

CCSS.HSF.LE.B.5

Front

What is the base of the common logarithm?

Back

10.

Front

Convert log₁₀(x) = 3 to exponential form.

Back

10³ = x.

Tags

CCSS.HSF.BF.B.5

Front

What is the relationship between logarithmic and exponential functions?

Back

Logarithmic functions are the inverses of exponential functions.

Tags

CCSS.HSF.BF.B.5

Front

If log_hw = d, what is the exponential form?

Back

w = h^d.

Tags

CCSS.HSF.BF.B.5

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Tags

CCSS.HSF.BF.B.5

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 log₁₀(100)?

Back

2, because 10² = 100.

Tags

CCSS.HSF.BF.B.5

Front

How do you express log₂(8) in exponential form?

Back

2³ = 8.

Tags

CCSS.HSF.BF.B.5

Front

What is the domain of a logarithmic function?

Back

The domain is all positive real numbers.