4.3 - Properties of Logarithms

• 5log₆(a) + 6log₆(c) − 30log₆(b)
• log₆(a) + 6log₆(c) − 5log₆(b)
• 6log₆(a) − 6log₆(c) − 30log₆(b)
• 6log₆(a) + 6log₆(c) − 30log₆(b)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

• 24log(u) - log(v)
• 24log(u) + 6log(v)
• 4log(u) + 6log(v)
• 4log(u) - 6log(v)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

• 60 log(ab)
• 6log(a) + log(b)
• log(a) - 30 log(b)
• 6log(a) + 30 log(b)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

• 2ln(xyz)
• ln(x) + ln(y) + ln(z)
• ln(x) - ln(y) - 2ln(z)
• ln(x) + ln(y) + 2ln(z)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

• 2ln(x) + ln(y)
• 4ln(x) + 2ln(y)
• 2ln(x) - 2ln(y)
• 4ln(xy)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

• 6log₈(xyz)
• log₈(x) - log₈(y) - 6log₈(z)
• log₈(x) + log₈(y) - log₈(z)
• log₈(x) + log₈(y) + 6log₈(z)

Tags

CCSS.HSF.BF.B.5

• 6log₈v - 2log₈u

• 6log₈u - 2log₈v

• 3log₈u - 2log₈v

• 6log₈u + 2log₈v

Expand.

• 1/3 log x + log y + log z
• 1/3 log x + 1/3 log y + 1/3 log z
• 1/3 log x - 1/3 log y - 1/3 log z
• 3 log x + 3 log y + 3 log z

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.
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.HSA.SSE.A.2

CCSS.HSF.IF.C.8