Logarithmic Functions

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

log₅25 = ?

• 2

• 5

• 125

• 10

Evaluate: log₄16

• 2

• 4

• 1/2

• -2

Write in logarithmic form:4⁵ = 1024

• log ₄ 1024 = 5

• log ₅ 1024 = 4

• log ₄ 5 = 1024

• log ₅ 4 = 1024

Write in exponential form:

log ₂ 32 = 5

• 2³² = 5

• 5³² = 2

• 5² = 32

• 2⁵ = 32

Solve for x:

log₄ x = 3

• 4

• 12

• 64

• 32

What is the base of a common logarithm?

• 1

• 10

• e

• -e

Evaluate log_b(b)

• b

• 1

• 0

• -1

Q1. Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2