Evaluating and Properties of Logs

Evaluate without a calculator:

log₃81 =

• 2

• 3

• 4

• 5

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

Evaluate without a calculator:

log₅25 = ?

• 2

• 5

• 125

• 1/2

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Tags

CCSS.HSF.BF.B.5

Rewrite in logarithmic form

9^3/2=27

• log₉27=3/2

• log₉27=2/3

• log_3/29=27

• log₂₇9=3/2

Evaluate without a calculator:

log₄1 =

• 0

• 1

• 4

• -1

Evaluate without a calculator:
 $\log_6\left(\frac{1}{36}\right)$  

• 2

• ¹/2

• -¹/2

• -2

Expand: log (a² * b)

• 2log(a) + log(b)

• 2log(a) + 2log(b)

• log(a) + log(b)

• 2log(a) * log(b)

• 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

• log (xy³)
• log (x⁶ − y³)
• log (x⁶/y³)
• log (x⁶ + y³)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8