Logarithmic Functions Practice

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

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

log₆(3x - 2) = log₆(5x - 8)

• x = 3

• x = -1

• x = 2

• no solution

Expand  $\log\ \left(\frac{m^3}{n}\right)$  

• logm-log3-logn

• 3logm+logn

• 3logm-logn

• 3log(m-n)

• log (xy³)

• log (x⁶ − y³)

• $\log\left(\frac{x^6}{y^3}\right)$

• log (x⁶ + y³)

Condense: log16 + log2 - log8

• log4
• log8
• log10
• log24

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

log ₂₅ 5 =

• 1/2

• 2

• 1/5

• 5

Tags

CCSS.HSF.BF.B.5

log 1000 =

• 1/10

• 10

• 1/3

• 3

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

10^log(k) =

• k

• 10

• 10^k

• 1

Tags

CCSS.HSF.BF.B.5

log₄1 = 

• 0
• 1
• 4
• DNE

Tags

CCSS.HSF.BF.B.5