Converting Logs to Exponents and Vice Versa

log₃81 = 

• 2
• 3
• 4
• 5

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

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216
• log₃(6) = 216
• log₆(216)=3
• log₂₁₆(6)=3

The following:
log ₂ 16 = 4 can be written as...

• 2¹⁶=4
• 4²=16
• 4+4+4+4=16
• 2⁴=16

True or False: log₈64=2

• True
• False

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

Rewrite in logarithmic form. 9^3/2=27

• log₉27=3/2
• log₉27=2/3
• log_3/29=27
• log₂₇9=3/2