Logarithmic Functions

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

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Write in exponential form.
log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:
ln(2) = x

• 2^x = 10
• 10² = x
• e^x = 2
• e² = x

Tags

CCSS.HSF.BF.B.5

Rewrite e^x = 9 using a logarithm

• ln x = 9

• ln 9 = x

• log_x e = 9

• log₉ x = e

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:

log₃27

• 3

• 2

• -3

• ¹/₃

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:

log₅5

• 1

• 0

• -1

• ¹/₂

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:

log₃3

• 1

• 0

• -1

• ¹/₂

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate the following logarithm:

log₄0.5

• -¹/₂

• -2

• 2

• ¹/₂

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4