Unit 6b Quiz Review

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite 3⁴ = 81 in logarithmic form.

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

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Evaluate log₄1

• 1
• 0
• 4
• undefined

log₁₆(4) = y

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

Simplifying using the laws of logarithms

• log(10)

• log(21)

• log(343)

• log(4)

Expand the logarithm expression

log₅5x^-5

• -5(log₅5x)

• -5log₅5 + log₅x

• log₅25x

• log₅5 - 5log₅x

Evaluate.
3 log₈2

• ¹/₃
• 3
• 1
• 9

log₂(1/8) = y

• y = -3
• y = (1/3)
• y = 3
• y = 0

log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2