Intro to Logarithms

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Tags

CCSS.HSF.BF.B.5

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12

• log ₁₂ 144 = 2

• log ₁₂ 2 = 144

• log ₂ 12 = 144

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x.
log₅25 = x

• 2

• 5

• 125

• 0.2

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x.
log₅ 1 = x

• 0

• -1

• 2

• 1

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x.

• 390,625

• 1250

• 312.5

• 25

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x:
log₄ x = 3

• 4

• 12

• 32

• 64

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate: log₉3

• ½

• -½

• 2

• -2

Tags

CCSS.HSF.BF.B.5