Logarithms

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Solve for x:
log_x 25 = 2

• 5
• -5
• 1/5
• -1/5

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x:
log₄ x = 3

• 4
• 12
• 32
• 64

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log (-1) = 

• 0.1
• .01
• all real numbers
• does not exist

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

CCSS.HSN.CN.A.1

Rewrite log₃t = 5 in exponential form.

• 5^t=3
• log₃5 = log₃t
• t⁵=3
• 3⁵=t

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Simplify 8^log₈x

• 0
• 1
• x
• 8

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

• 1.82
• 3.17
• 3.05
• 1.63

• 3.39
• 2.60
• 2.58
• 3.02

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

log₂(x + 2) + log₂x  = 3

• -4, 2
• -2, 4
• 2 ;  -4 is extraneous
• 1 ;  -3 is extraneous

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSF.BF.B.5

Logarithms are the inverse of ___________.

• Trees
• Quadratics
• Square
• Exponential

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.BF.B.5