QnD - Log Basics

Write the exponential equation as a logarithm
6³=216

• log₆3 = 216

• log₃6 = 216

• log₆216=3

• log₂₁₆6=3

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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

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

Evaluate.
2^log₂12

• 6
• 2
• 9
• 12

The common logarithm has what base?

• 10
• 0
• e
• -e

Log with a base "e" (log_e) is the same thing as...

• "e"
• Natural Logarithm (ln)

• Common Logarithm (log)

• Natural Log, base "e"
  ln_e

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CCSS.HSF.BF.B.5

Write in exponential form.
log₂32 = 5

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

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CCSS.HSF.BF.B.5

Convert 6^x+2=216 to logarithmic form

• log₂₁₆(x+2)=6
• log₆(x+2)=216
• log₆216=x+2

• log_(x+2)216=6

Tags

CCSS.HSF.BF.B.5

Convert 10^x+5=100 to logarithmic form.

• log₁₀₀=x+5
• log(x+5)=100
• log 100=x+5

• log_(x+5)100=10

Tags

CCSS.HSF.BF.B.5

Tags

CCSS.HSF.BF.B.5