Simplifying Logs

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Evaluate log₄1

• 1
• 0
• 4
• undefined

Write the logarithm expression as a single logarithm

log₆25 - log₆5

• log₆125

• log₅20

• log₆5

• log₆30

Write the logarithm expression as a single logarithm

log₄60 - log₄4 + log₄x

• log₄15

• log₄15x

• log₄56x

• xlog₄30

Expand the logarithm expression

log₅5x^-5

• -5(log₅5x)

• -5log₅5 + log₅x

• log₅25x

• log₅5 - 5log₅x

Evaluate.
3 log₈2

• ¹/₃
• 3
• 1
• 9

log₁₆(4) = y

• y = 2
• y = 4
• y = (1/2)
• y = (1/4)

Tags

CCSS.HSF.BF.B.5

log₂(1/8) = y

• y = -3
• y = (1/3)
• y = 3
• y = 0

Tags

CCSS.HSF.BF.B.5