Log Basics

Logs and Exponentials are:

• opposites

• reciprocals

• inverses

• conjugate pairs

log₂(8) = 3

• 2³= 8

• 2⁸ = 3

• 8² = 3

• 8³ = 3

Tags

CCSS.HSF.BF.B.5

Rewrite as a logarithm
3⁴ = 81

• log₄(3) = 81

• log₄(81) = 3

• log₃(4) = 81

• log₃(81) = 4

Tags

CCSS.HSF.BF.B.5

Solve the logarithm
log₄(16)

• 2

• -2

• 1/2

• -1/2

Tags

CCSS.HSF.BF.B.5

Solve the logarithm
log_1/2(16)

• 1/4

• 4

• -4

• -1/4

Tags

CCSS.HSF.BF.B.5

Solve the logarithm
log₂₇(9)

• 3/2

• -3/2

• 2/3

• -2/3

Tags

CCSS.HSF.BF.B.5

Solve the logarithm
log₂₅(1/125)

• -3/2

• -2/3

• 3/2

• 2/3

Solve the logarithm
log₃₄₃(49)

• 2/3

• -2/3

• 3/2

• -3/2

Tags

CCSS.HSF.BF.B.5

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

Tags

CCSS.HSF.BF.B.5

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5