A2 Log Rules Review

log (2 * 3) = ?

• log 2 + log 3

• log 2 * log 3

• log 2 - log 3

• log 5

Tags

CCSS.HSF.BF.B.5

log (a / b) = ?

• log a - log b

• log a / log b

• log_a b

• log_b a

Tags

CCSS.HSF.BF.B.5

log (a² * b) = ?

• 2log(a) + log(b)

• 2log(a) + 2log(b)

• log(a) + log(b)

• 2log(a) * log(b)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5

Condense: log16 + log2 - log8

• log4
• log8
• log10
• log24

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Expand

• log₈x+log₈y+log₈z
• 5log₈x+5log₈y+5log₈z
• log₈xy+5log₈z
• log₈x+log₈y+5log₈z

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

The common logarithm has what base?

• 10
• 0
• e
• -e

Tags

CCSS.HSF.BF.B.5

Expand the following logarithm: 
log_b x²y/z³  

• log_b 2x + log_b y - log_b 3z
• 2log_b x + log_b y - 3log_b z
• 2log_b x + log_b y + 3log_b z
• 2log_b x - log_b y - 3log_b z

Tags

CCSS.HSF.BF.B.5

Condense the following logarithm: 3 log₂ x + 2 log₂ y – 4 log₂ z 

• log₂ x³y²∕z⁴
• log₂ x³y²z⁴
• log₂ xyz⁹
• 9log₂ xyz

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Rewrite the equation into logarithmic form:
6² = 36

• log₆ 2 = 36
• log₆ 36 = 2
• ln 36 = 2
• 6³⁶ = 2

Tags

CCSS.HSF.BF.B.5