Logarithmic Functions

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Last updated 10:38 PM on 10/31/25
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8 Terms

1
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log_b(x) = y

Logarithm → Solves for y

2
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b^y = x

Exponential Form → Solves for x

3
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log_b(x) = log(x)/log(b)

Change of Base → Solves for log_b(x)

4
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logb(MN) = logb(M) + log_b(N)

Logarithm Property → Product

5
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logb(M/N) = logb(M) - log_b(N)

Logarithm Property → Quotient

6
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logb(M^k) = k*logb(M)

Logarithm Property → Power

7
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log_b(1) = 0

Logarithm Property → Identity

8
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log_b(b) = 1

Logarithm Property → Base Identity