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# 3.7: Properties of Logarithms

Difficulty Level: At Grade Created by: CK-12
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### Vocabulary Language: English

TermDefinition
Condensing logs Condensing logs refers to the process of combining two individual logarithms into a single logarithm.
Expanding logs Expanding logs refers to the process of splitting a single log into two separate and simpler logs.
log "log" is the shorthand term for 'the logarithm of', as in "$\log_b n$" means "the logarithm, base $b$, of $n$."
Logarithm A logarithm is the inverse of an exponential function and is written $\log_b a=x$ such that $b^x=a$.
Logarithmic A function or expression is logarithmic if it contains a logarithm.

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