Inverse of an Exponential and Logarithmic Functions

Evaluate: log₆ (¹/₂₁₆) = x

• 3

• ¹/₃

• -¹/₃

• -3

Evaluate: log ₂ 16 = x

• 3

• 2

• 4

• 5

What equation matches the graph?

• f(x) = 3^x

• f(x) = (⅓)^x

• f(x) = log₃(x)

How are exponentials and logarithms related?

• They're cousins

• They're inverses

• They're not related

• They're reciprocals

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

Write the following equation in logarithmic form:
2³ = 8

• log₂8 = 3

• log₂3 = 8

• log₃2 = 8

• log₃8 = 2

The natural logarithm is represented as what?

• log

• ln

Change to exponential form.

log_a2 = 5

• a² = 5

• 5² = a

• a⁵ = 2

• 2⁵ = a