Logarithm Review

Rewrite in exponential form:
log₃(9)=2.

• 3⁹=2
• 3²=9
• x²=9
• 3^x=2

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:
log(10,000)=4.

• e⁴=10,000
• 4^10,000=10
• 10⁴=10,000
• 0⁴=10

Tags

CCSS.HSF.BF.B.5

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈
• 2^1/8 = -3
• -3² = ¹/₈
• -3^1/8 = 2

Tags

CCSS.HSF.BF.B.5

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log₄1 = 

• 0
• 1
• 4
• DNE

Tags

CCSS.HSF.BF.B.5

log₆6

• -1
• 0
• 2
• 1

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12
• log ₁₂ 144 = 2
• log ₁₂ 2 = 144
• log ₂ 12 = 144

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic form.

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

Expand: log₃(2ab²c)

• log₃2×log₃a×2log₃b×log₃c
• log₃2+log₃a+2log₃b+log₃c
• log₃2-log₃a-2log₃b-log₃c
• log₃(2+a+b²+c)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Condense: log16 + log2 - log8

• log4
• log8
• log10
• log24

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5