Log/Expo Basics 3/26/25

Rewrite log₂8 = 3 in exponential form/

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Evaluate log₄1

• 1
• 0
• 4
• undefined

• 2

• 5

• 3

• No Solution

Evaluate.
log₂16

• 8
• 4
• 2
• 1/8

Evaluate.
log(1/100)

• –2
• 1/2
• –1/2
• 2

Solve for x:

log₃ x = 4

Mathematical Equivalence

OFF

Mathematical Equivalence

ON

Mathematical Equivalence

ON