Algebra II Properties of Logs

log₄1 = 

• 0
• 1
• 4
• DNE

Tags

CCSS.HSF.BF.B.5

Solve for x:
log_x(64)=2.

• 10
• 4
• 8
• e

Tags

CCSS.HSF.BF.B.5

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Tags

CCSS.HSF.BF.B.5

Condense: log₂6+log₂3=

• log₂18

• log₂2 = 1

• log₂3

• log₂9

Tags

CCSS.HSF.BF.B.5

Write log_b(xy) as two logs

• log_bx+log_by
• log_bx-log_by
• log_bx*log_by
• log_bx/log_by

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Rewrite log_b(xⁿ)

• nlog_bx
• (log_bx)ⁿ
• xⁿlog_bx
• log_b(xⁿ)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Using the change of base property, rewrite log₂31

• log(2) / log(31)

• log(2/31)

• log(31)/log(2)

• log(31/2)

Write log_b(x/y) as two logs

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by
• log_bx/log_by

Tags

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)