The Log Function

• x = 1

• x = 0

• x = 6

• x = -1

• x = 3

• x = 1

• x = 9

• x = 27

Write in exponential form. log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

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

Rewrite in exponential form:

log₉x=2

• 9^x=2

• 2^x=9

• 2⁹=x

• 9²=x

Write 6^x = 8 in log form.

• log₆ 8 = x

• log₈ 6 = x

• log₆ x = 8

• log₈ x = 6

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

The common logarithm has what base?

• 10
• 0
• e
• -e