Intro to Logarithms

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Tags

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

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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

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

Use the change of base formula and your calculator to approximate the log.

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Use the change of base formula and your calculator to approximate the log.

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve.

18^k = 71

• 1.2693

• 2.352

• 1.4748

• 4.328

log₅(4x - 7)=log₅(x + 5)

• 3

• 12

• 4

• 7