A2 Chapter 11 Review

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Rewrite in exponential form:

log₃(9)=2.

• 3⁹=2

• 3²=9

• x²=9

• 3^x=2

Rewrite the equation into logarithmic form:

6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

Change to Logarithmic Form:

5³ = 125

• log ₅ 125 = 3

• log ₃ 125 = 5

• log ₅ 3 =125

• log₁₂₅ 3 = 5

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

log₅125

• 3
• 5
• 25
• 4

log_(1/3)(1/9)

• 6
• 1/3
• -1
• 2

log₂⅛

• -3
• -4
• 2
• 8

The common logarithm has what base?

• 10
• 0
• e
• -e

The natural logarithm has what base?

• 10

• 0

• e

• -e