Solving Logarithms and Change of Base

Rewrite 3⁴ = 81 in logarithmic form.

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

Solve the log using change of base
log₉27

• 3/2
• 2/3
• 3
• 0.5

The common logarithm has what base?

• 10
• 0
• e
• -e

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Write log₆ 216 = 3 in exponential form.

• 3⁶=216
• 6³=216
• 216⁶=3
• 3²¹⁶=6

Evaluate log_b(b)

• -1
• 0
• 1
• b

Evaluate log₈ 8

• 8
• -1
• 0
• 1

Simplify log₄4^3x

• 3x
• 3
• 4
• 4^3x

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

log₅25 = ?

• 2
• 5
• 125
• 10