Logarithms Quiz

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Write in logarithmic form.
5² = 25

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

Write as one logarithm. Simplify, if possible.
log₃9 + log₃27

• -1
• 5
• 4
• 1

Write as one logarithm. Simplify, if possible.
log₅125 - log₅25

• 1
• 0
• 5
• -1

Evaluate.
3 log₂4

• 3
• 6
• 2
• 4

Write in exponential form.
log₂32 = 5

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

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

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

Solve for x:
log_x 25 = 2

• 5
• -5
• 1/5
• -1/5

Evaluate log₄1

• 1
• 0
• 4
• undefined

The common logarithm has what base?

• 10
• 0
• e
• -e