Exponential and Logarithmic Functions

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

log₅25 = ?

• 2
• 5
• 125
• 10

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

Solve for x.
3^x = 27

• 2
• 4
• 3
• 5

Solve for x.
5^x = 1

• 0
• -1
• 2
• 1

log₅25 = ?

• 2
• 5
• 125
• 10

Evaluate log₄1

• 1
• 0
• 4
• undefined

Evaluate log₈ 8

• 8
• -1
• 0
• 1