Logarithms Test

Rewrite 3⁴ = 81 in logarithmic form.

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

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CCSS.HSF.BF.B.5

Write in logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2

Tags

CCSS.HSF.BF.B.5

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈
• 2^1/8 = -3
• -3² = ¹/₈
• -3^1/8 = 2

Tags

CCSS.HSF.BF.B.5

Solve for x
5^x = 17

• x = log₁₇5
• x = log 5 + log 17
• x = log₅17
• x = (log 5)/(log 17)

Tags

CCSS.HSF.LE.A.4

Solve for x
log₈(x) = 2

• x = 256
• x = 64
• x = 16
• x = 32

Tags

CCSS.HSF.BF.B.5

log₅(25) = y

• y = 2
• y = 0.5
• y = 5
• y = (1/2)

Tags

CCSS.HSF.BF.B.5

log₃(1) = y

• y = 0
• y = 1
• y = (1/3)
• y = 2

Tags

CCSS.HSF.BF.B.5

log₁₆(4) = y

• y = 2
• y = 4
• y = (1/2)
• y = (1/4)

Tags

CCSS.HSF.BF.B.5

log₃(4x) = 2

• x=4/9
  x=4/9
• x=9/4
• x=3/2
• x=2/3

Tags

CCSS.HSF.BF.B.5