Logarithm Properties

Expand

• A
• B
• C
• D

Expand

• A
• B
• C
• D

Condense

• A
• B
• C
• D

Condense

• A
• B
• C
• D

Convert to log form:
6^-2=1/36

• log₆(-2) =36
• log₆(1/36) =-2
• log₃₆(6) =-2
• log_-2(1/36) =6

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Write in exponent form:
  log₆ 36 = 2

• 2⁶ = 36
• 36² = 6
• 6³⁶ = 2
• 6^{2 = 36}

Rewrite in exponential form:
  log_v n = a

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Condense

• log xyz³
• log (xy/z³)
• log x + log y + log z³
• log x³y³z³

Evaluate:
  log₄1

• 0
• 1
• 4
• DNE

Expand: log₅xy³

• log₅x +log₅y³

• log₅x - log₅y³

• log₅x +3log₅y

• log₅x ⋅ 3log₅y