Properties of Logs

log (x - 1)  - log (x - 2)  = log 5

• 7
• 4/9
• 9/4
• 1/7

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

Tags

CCSS.HSF.BF.B.5

log₂(x + 5) = 3

• 3
• 4
• 5
• 6

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4

Write as a single log: log 12 + 2 log x

• log (12 + 2x)
• log (14x)
• log (12 * 2x)
• log (12x²)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

log (x) + log (x) = log (25)

• -5, 5
• 5
• -5
• 25

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

Condense
log₁₂15 + 3log₁₂4

• log₁₂
• log₁₂960
• log₁₂43
• log₁₂99

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Write the expression as a single logarithm.   Then simplify if possible.
log 6 - log 3 + 2 log 7

• log 98
• log 78
• log 56
• log 45

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.LE.A.4

CONDENSE
log₁₃x + log₁₃y - log₁₃4z

• xy/4z
• 4log₁₃(xy/z)
• log₁₃(xy/4z)
• (log₁₃xy)/(log₁₃4z)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

Write the expression as a single logarithm.   Then simplify if possible.
log₅3 + log₅6 + log₅9

• log₅69
• log₅56
• log₅162
• log₅98

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216
• log₃(6) = 216
• log₆(216)=3
• log₂₁₆(6)=3

Tags

CCSS.HSF.BF.B.5