Unit 2 - Math 3

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Simplify the following logarithmic function:
log₂16=

• 2
• 16
• 8
• 4

Write the following equation in logarithmic form:
3⁵ = 243

• log₃5 = 243
• log₂₄₃3 = 5
• log₅243 = 3
• log₃243 = 5 

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

• e⁷
• e¹⁰
• 5e⁷
• 5e¹⁰