Logarithm of a quotient

\log_a\tfrac{x}{y}=\log_a x-\log_a y

Result unit: — (liczba)

What it describes

The logarithm of a quotient is the difference of the logarithms.

a

base

x, y

positive numbers

The logarithm of a quotient turns division into subtraction of logarithms.

Simplifying logarithms of quotients.

Evaluate

\log_2\dfrac{16}{2}

Substitution

\log_2 16-\log_2 2

Result

4-1=3

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