Logarithms and Logarithmic Functions

Logarithmic Functions 3

A2.A.SSE.B.2

A2.F.LE.A.2

Multiple Choice

Write in logarithmic form.

5² = 25

• log₅2 = 25

• log₂25 = 5

• log₂₅5 = 2

• log₅25 = 2

Multiple Choice

Evaluate log₄1

• 1

• 0

• 4

• undefined

Multiple Choice

Change to Exponential Form:

log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Multiple Choice

Evaluate:

log₄16

• 2

• 4

• 1/2

• -2

Multiple Choice

What is the range of log(x)?

• (-2, 4)

• (-∞, ∞)

• (-∞, 0)

• (∞, -∞)

Multiple Choice

What is the domain of log(x)?

• (-∞, ∞)

• [0, ∞)

• (0, ∞)

• (∞, -∞)

Multiple Choice

Which function has a vertical asymptote?

• exponential

• logarithm

• both

• neither

Multiple Choice

Which function has a horizontal asymptote?

• exponential

• logarithm

• both

• neither

Multiple Choice

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions

• Quadratic Functions

• Polynomial Functions

Multiple Choice

What is the value of ln(e⁷)

• 2.718...

• 1

• 7

• Does not exist

Multiple Choice

Rewrite in exponential form:

ln(2) = x

• 2^x = 10

• 10² = x

• e^x = 2

• e² = x

Multiple Choice

Simplify e^ln(x)

• 0

• 1

• x

• 8

Multiple Choice

The natural logarithm has what base?

• 10

• 0

• e

• -e