log10

Common (base 10) logarithm.

Category: Mathematics > Elementary Math

Syntax

Y = log10(X)

Description

log10(x) is the exponent to which 10 must be raised to get x, so log10(1000) is exactly 3. It is the natural scale for decibels (20*log10(ratio)), pH, the Richter scale and any quantity spanning many orders of magnitude, and floor(log10(x)) gives the order of magnitude of x.

Input arguments

X

Numeric array, real or complex.

Output arguments

Y

Array of the same size as X. Zero gives -Inf, a negative real gives a complex result.

Example

Powers of ten and decibels

log10([1 10 1000])
log10(2)
20*log10(10)

ans = 1×3

     0     1     3
ans = 0.3010
ans = 20

See also

log log2 log1p exp nextpow2