Logarithms

What is the base of the logarithm:
log₂(16) = 4 ?

• 2
• 10
• 16
• 4

Tags

CCSS.HSF.BF.B.5

What is the base of the logarithm:
log(100) = 2 ?

• 2
• 10
• e
• 50

Tags

CCSS.HSF.BF.B.5

What is the base of the logarithm:
ln(8) = 2.08 ?

• e
• 10
• 2.08
• 8

Tags

CCSS.HSF.BF.B.5

Re-Write the Exponential Equation into Logarithmic Form
5^x = 625

• x = log₅625 
• log₅x = 625
• 5 = log_x625
• log₅x = 625

Tags

CCSS.HSF.BF.B.5

Re-Write the Exponential Equation into Logarithmic Form
e⁴ = 54.60

• 4 = ln (54.60) 
• ln (4) = 54.60
• 4 = log (54.60) 
• log (e) = 54.60

Tags

CCSS.HSF.BF.B.5

Re-Write the Exponential Equation into Logarithmic Form
e^k = 7.39

• ln (7.39) = k
• ln (7.39) = e
• log (7.39) = k
• log (e) = 7.39

Tags

CCSS.HSF.BF.B.5

Re-Write the Exponential Equation into Logarithmic Form
3^-5 = 1/243

• log₃(1/243) = -5
• log₃(1/243) = 5
• log₃(243) = -5
• log₃(-5) = 243

Tags

CCSS.HSF.BF.B.5

Re-Write the Exponential Equation into Logarithmic Form
x^-z = 1/32

• log_x(1/32) = -z
• log_x(1/32) = z
• log_x(-z) = 1/32
• log_z(1/32) = -x

Tags

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

Tags

CCSS.HSF.BF.B.5