Logarithms

Write in exponent form:
  log₆ 36 = 2

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

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:
  log_v n = a

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Tags

CCSS.HSF.BF.B.5

Condense

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

Tags

CCSS.HSA.SSE.B.3

Evaluate log_b (b)

• -1
• 0
• 1
• b

Condense

• log₈ (x⁶)/log₈ (y³)
• log₈ (x⁶/y³)
• log₈ (x/y³)
• log₈ (x⁶y³)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Expand log₅(u³v⁵)

• 1/2(log₅u+log₅v+log₅uw)
• 5 log₅ u - 15 log₅ v 
• log₅u + log₅v +3 log₅w
• 3 log₅u + 5 log₅v

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Condense the expression to a single logarithm.
16 log u +4 log v 

• log(v⁴u¹⁶)
• log(v⁴u⁴)
• log(vuw⁴)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

12 log u + 3 log v

• log(v³u¹²)
• log(vuw⁴)
• log(u³/v¹²)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Simplify the following logarithmic function:
log₂16=

• 2
• 16
• 8
• 4

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Write the following equation in logarithmic form:
3⁵ = 243

• log₃5 = 243
• log₂₄₃3 = 5
• log₅243 = 3
• log₃243 = 5 

Tags

CCSS.HSF.BF.B.5