Exponents and Logarithms

Rewrite the exponential equation into its logarithmic equation; x⁶=64

• log₆x=64
• log6=64
• log₆64=x
• log_x64=6

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Tags

CCSS.HSF.BF.B.5

Evaluate log₄1

• 1
• 0
• 4
• undefined

Tags

CCSS.HSF.BF.B.5

Evaluate: log₉3

• ½
• -½
• 2
• -2

Tags

CCSS.HSF.BF.B.5

log₈(4x+4)=2

• 15

• 12

• 10

• 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

log₄(3x-1)=log₄(2x+3)

• 4

• 3

• 1

• 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

ln e⁵= 

• e⁵
• ln 5
• 5
• 5e

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x:
2^{3x + 1} = 32

• 0
• -1
• 5/3
• 4/3

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

If you invest $1000 into an account with an annual interest rate of 6%. How long will it take for your investment to double if the interest is compounded yearly?

• 18 years

• 16 years

• 12 years

• 8 years