Mathematical formulas

Algebra

Subjects Home Search

Sections

1Numbers and algebraic properties
2Powers, exponents, and radicals
3Algebraic expressions
4Notable products and identities
5Factorization
6Rational expressions and partial fractions
7Equations
8Inequalities
9Systems of equations
10Functions
11Polynomials
12Exponentials and logarithms
13Complex numbers
14Sequences, finite series, and recurrences
15Vectors
16Matrices
17Determinants and inverses
18Vector spaces
19Linear transformations
20Eigenvalues and diagonalization
21Orthogonality and projections
22Least squares
23Matrix decompositions
24Matrix norms and conditioning
25Boolean algebra
26Modular arithmetic
27Algebraic structures
28Linear codes and error correction
29Relationship maps

Search formulas…

Language

Loading formula…

Mathematical formulas · API-served content · Subjects

About Reviews Contact

Subjects
Algebra
Exponentials and logarithms
Logarithm of a power

12. Exponentials and logarithms

Logarithm of a power

Level: fundamental

In 12. Exponentials and logarithms

Formula

lo g_{b} (x^{r}) = r lo g_{b} x

Detail

Converts exponents into factors.

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