Exponential and Logarithm Functions

Write in logarithmic form.
5² = 25

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

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CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

Change to Logarithmic Form:

12^2 = 144

• log ₂ 144 = 12

• log ₁₂ 144 = 2

• log _12 2 = 144

• log _2 12 = 144

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

Rewrite log _a b = c into exponential form.

• a^b = c

• a^c = b

• b^a = c

• c^b = a

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log_289 17 = 1/2

• 289^1/2 = 17
• 17^1/2 = 289
• 289^17 = 1/2
• 1/2^17 = 289

Tags

CCSS.HSF.BF.B.5

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate log₄1

• 1
• 0
• 4
• undefined

Tags

CCSS.HSF.BF.B.5

Solve for x:
e^2x = 11

• x = (LN 11)/2
• x = 2log_e11
• x = 2eLOG 11
• x = LN (11/2)

Solve for x:
4^2x + 1 = 17

• x = 1
• x = -1
• x = 2
• x = -2