Log Test Review

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)
• log₂(xy⁵)
• log₂(x/y)⁵
• log₂(x/5y)

Evaluate log₅  20 to the third decimal place

• 0.537
• 2.996
• 1.301
• 1.861

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216
• log₃(6) = 216
• log₆(216)=3
• log₂₁₆(6)=3

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Evaluate.
3 log₂4

• 3
• 6
• 2
• 4

Write in logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Logarithms are the inverse of ___________.

• Trees
• Quadratics
• Square
• Exponential

The common logarithm has what base?

• 10
• 0
• e
• -e

log₂(x + 5) = 3

• 3
• 4
• 5
• 6