Logarithm Rules

 $\log_28$  

• 16

• 3

• 4

• 6

log (3²) =?

• log 6

• 2 log 3

• log₂ 3

• log₃ 2

Tags

CCSS.HSF.BF.B.5

log (ab) = ?

• log a ⋅ log b

• log a + log b

• log a – log b

• a log b

log (a / b) = ?

• log a – log b

• log a / log b

• log_a b

• log_b a

Expand log_b(xy).

• log_bx + log_by

• log_bx – log_by

• (log_bx)(log_by)

• log_bx / log_by

Rewrite in exponential form:

2 = log₉x

• 9^x = 2

• 2^x = 9

• 2⁹ = x

• 9² = x

Write as one logarithm. Simplify, if possible.
log₆3 + log₆2

• 0
• log₆5
• log₆1
• 1

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Tags

CCSS.HSF.BF.B.5

Evaluate.

log₆(¹/₂₁₆)

• 3

• ¹/₃

• –¹/₃

• –3

Write in logarithmic form.
5² = 25

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

Tags

CCSS.HSF.BF.B.5