Properties of Logarithms

Condense

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Condense

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Expand as much as possible log₆(5x³/y).

• log₆(5x³) - log₆(y)

• log₆(5) + log₆(x³) - log₆(y)

• log₆(5) + 3log₆(x) - log₆(y)

Write the expression as a single logarithm. Then simplify if possible.

log₅3 + log₅6 + log₅9

• log₅ 69

• log₅ 56

• log₅ 162

• log₅ 98

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.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Condense

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

The common logarithm has what base?

• 10
• 0
• e
• -e

Tags

CCSS.HSF.BF.B.5

Condense

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

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.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Write log_b(xy) as two logs

• log_b x + log_b y

• log_b x - log_b y

• log_b x * log_b y

• log_b x / log_b y