Evaluating and Converting Logs

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3

• log ₃ 125 = 5

• log ₅ 3 =125

• log₁₂₅ 3 = 5

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log₂₈₉ 17 = 1/2

• 289^1/2 = 17

• 17^1/2 = 289

• 289¹⁷ = 1/2

• 1/2¹⁷ = 289

Tags

CCSS.HSF.BF.B.5

log₃81 = 

• 2

• 3

• 4

• 5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Evaluate log₅25

• 2

• 5

• 125

Rewrite the equation into logarithmic form:
6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:
log₄2

• -¹/₂

• -2

• 2

• ¹/₂

Evaluate the following logarithm:

log₃(¹/₃)

• -2

• -¹/₂

• -1

• ¹/₂

Evaluate: log ₂ 16 = x

• 3

• 2

• 4

• 5

Tags

CCSS.HSF.BF.B.5

Evaluate: log₆ (¹/₂₁₆) = x

• 3

• ¹/₃

• -¹/₃

• -3