Basic Properties of Logarithms

Two forms

1. exponential

2. logaerithmic

It helps to think about logarithms as exponents. Rewriting can help you figure it out.

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Rewriting Logarithms

Multiple Choice

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Multiple Choice

Write in exponential form.
log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Multiple Choice

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Multiple Choice

Rewrite log₃81 = 4 exponentially

• 3⁴ = 81

• 4³ = 81

• 81³=4