Inverses of Exponential Functions and Logarithms

Write the following equation in logarithmic form:
2³ = 8

• log₂8 = 3

• log₂3 = 8

• log₃2 = 8

• log₃8 = 2

Write the following equation in exponential form:
log₂32 = 5

• 2⁵ = 32

• 2³² = 5

• 5² = 32

• 32² = 5

Evaluate the following logarithm by converting to exponential form.
log₃⅓ = x

• x = -1

• x = 1

• x = 3

• x = ⅓

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12

• log ₁₂ 144 = 2

• log ₁₂ 2 = 144

• log ₂ 12 = 144

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Which has the point (1,0) in the parent function?

• exponential

• logarithm

• both

The natural logarithm is represented as what?

• log

• ln

What is the range?

• (-∞, ∞)

• (0, ∞)

• [1, ∞)

• (1, ∞)

Which function has a vertical asymptote?

• exponential

• logarithm

• both

• neither