2.1 Intro to Logarithms

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

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CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5

Solve for x.
log₅25 = x

• 2
• 5
• 125
• 0.2

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CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x.
log₅ 1 = x

• 0
• -1
• 2
• 1

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

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CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Evaluate: log₉3

• ½
• -½
• 2
• -2

Tags

CCSS.HSF.BF.B.5

Solve the equation.
4^x+1 = 8^2x–3

• x = –7/4
• x = –4/11
• x = 11/4
• x = 7/11

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CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

The common logarithm has what base?

• 10
• 0
• e
• -e

Tags

CCSS.HSF.BF.B.5

Solve for x.
log₅25 = x

• 2
• 5
• 125
• 0.2

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12
• log ₁₂ 144 = 2
• log ₁₂ 2 = 144
• log ₂ 12 = 144

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4