Logarithms

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Tags

CCSS.HSF.BF.B.5

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Solve for x:
log₄ x = 3

• 4
• 12
• 32
• 64

Tags

CCSS.HSF.BF.B.5

Evaluate log₄1

• 1
• 0
• 4
• undefined

Evaluate: log₆₄4

• 3
• -3
• ⅓
• -⅓

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Expand the logarithm
log₁₀ 7x

• (log₁₀ 7)(log₁₀ x)
• log₁₀ 7 + log₁₀ x
• 7log₁₀ x
• xlog₁₀ 7

Write as a single log: log 12 + 2 log x

• log (12 + 2x)
• log (14x)
• log (12 * 2x)
• log (12x²)

Let log₂5 = a and log₂7 = b then log₂175 =...

• a + b

• ab

• a/b²

• 2a + b

If log₂3 = x and log₂25 = y. Value of log₂75=

• xy²

• (xy)/2

• x + y

• x - y

Solve:
_{log (4x − 5) = log (2x − 1)} 

• 0
• 1
• 2
• 3

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4