logarithm rules

log_bM+log_bN=log_b(M+N)

• True
• False:  It's supposed to be log_b(MN)
• False: It's supposed to be log_b(M+N)
• False: It's supposed to be log_bM^N

log₁₃x+log₁₃y-log₁₃4z

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

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Write as one log

log₃26 - log₃2

• log₃24

• log₃28

• log₃13

• ln13

Which is correct for log_a 2 + log_a 5x = ?

• log_a 10x

• log_a (5x)²

• log_a (2 + 5x)

• log_a 7x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand.
Log₅ x³/ y²

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Condense.
6 log₆ x + 2 log₆ y

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSF.LE.A.4

Expand the following logarithm: 
log₂ 6/y 

• log₂ 6 - log₂ y 
• log₂ y - log₂ 6 
• 2log 6 + 2log y
• log₂ 6 - y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

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.HSF.LE.A.4