Mathematical formulas

Algebra

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1Numbers and algebraic properties
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4Notable products and identities
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12. Exponentials and logarithms

Logarithm of a quotient

Level: fundamental

In

Formula

lo g_{b} (x / y) = lo g_{b} x - lo g_{b} y

Detail

Converts quotients into differences.

Related formulas

Related
Logarithm of a product
$lo g_{b} (x y) = lo g_{b} x + lo g_{b} y$
Open formula Open in section
Related
Logarithm of a power
$lo g_{b} (x^{r}) = r lo g_{b} x$
Open formula Open in section

12. Exponentials and logarithms

Subjects
Algebra
Exponentials and logarithms
Logarithm of a quotient