logarithmically

1 9.3

In a way that uses a scale where each step multiplies the number

adverb
/ˌlɔɡəˈrɪðmɪkli/

Specialized

: logarítmicamente

Color scanners typically produce numbers that vary either linearly or logarithmically with the intensity of reflected or transmitted light.
logarithmically transformed
increases logarithmically

Examples

So again we can sum up logs and have a logarithmically improved result.
The surface film's thickness rises logarithmically with temperature.

Academic text (2005)
Time intervals spanning more than forty-two orders of magnitude are plotted logarithmically.

Academic text (2006)
The strength of wind-induced current decreases logarithmically to zero at approximately a depth generally assumed to be 20 m (Elliott, 1986).

Academic text (2018)
That's because the emissivity e of such an astrophysical synchrotron source increases logarithmically with decreasing frequency v.

Academic text (2002)
The population of the city is increasing logarithmically as more people move in each year.
As the temperature rises, the pressure in the gas increases logarithmically rather than linearly.
The data showed that costs grew logarithmically over time, indicating a rapid initial increase.

Surface Forms

logarithmically positive

Morphology

logarithmically = logarithmic (transparent) = logarithm + ic + ally

Formed by adding a regular adverbial ending to the adjective 'logarithmic', so the meaning 'in a way relating to logarithms' is directly derived.

Etymology

Logarithmically comes from logarithm, which is made of two Greek parts: logos 'ratio' and arithmos 'number', like in arithmetic. So when something changes logarithmically, it changes by multiplying in steps, for example times 2 or times 10, which is why we use a logarithmic scale to show very large ranges.