A4 Day 10 Warm Up: Evaluate and Rewrite Logs

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

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

Evaluate log₄1

• 1
• 0
• 4
• undefined

Evaluate:

 $\log_3\left(\frac{1}{9}\right)$  

• 1/2

• 2

• -2

• 3

Evaluate:

 $\log_{16}2$  

• 4

• 1/8

• 1/4

• -4