LOGARITHMIC FUNCTIONS AS INVERSES

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

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Rewrite 3⁴ = 81 in logarithmic form.

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

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Rewrite log_pt = m in exponential form.

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

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log₅25 = ?

• 2
• 5
• 125
• 10

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Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

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Rewrite in exponential form:

log₃(9)=2.

• 3⁹=2

• 3²=9

• x²=9

• 3^x=2

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Rewrite the equation into logarithmic form:

6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

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Change to Logarithmic Form:

5³ = 125

• log ₅ 125 = 3

• log ₃ 125 = 5

• log ₅ 3 =125

• log₁₂₅ 3 = 5

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How are exponential and logarithmic functions related?

• Opposites
• Inverses
• Cousins
• Reciprocals

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Write in exponential form.
log₂32 = 5

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

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