Logarithms

Evaluate the following logarithm:

log₃27=x

• 3

• 2

• -3

• ¹/₃

Evaluate the following logarithm:

log₅5=x

• 1

• 0

• -1

• ¹/₂

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

Write in logarithmic form

2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

Write in exponential form

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Solve for x:
log_x 25 = 2

• 5
• -5
• 1/5
• -1/5

Evaluate.

log₃81=x

• 4

• ¹/₄

• -4

• -¹/₄

Write in logarithmic form.
5² = 25

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

Solve for x:

log₈(x) = 2

• x = 256

• x = 64

• x = 16

• x = 32