exponential equation

6.4

A math sentence that has a number or letter as a power

noun
/ˌɛkspəˈnɛnʃəl ɪˈkweɪʒən/

Specialized

: ecuación exponencial

Focusing on the (statistical) expected outcome, this differential model has a solution in the form of a compound exponential equation.

Examples

The scientist solved the exponential equation to predict population growth over the next decade.
In mathematics class, we learned how to graph an exponential equation to visualize the rapid increase of the function.
She explained that an exponential equation can model real-life scenarios such as compound interest in finance.

Antonyms

linear equation

Specialized

1 4.1

An equation with the variable to the first power that makes a straight line when graphed

Surface Forms

exponential equation singular

exponential equations plural

Morphology

exponential + equation

The meaning 'an equation in which the variable appears as an exponent' is directly and compositionally derived from 'exponential' (involving exponents) combined with 'equation' (a mathematical equality). This noun compound follows a regular, cross-linguistically common pattern, so a learner who knows both constituents will readily infer the MWE meaning.

Etymology

Exponential equation names an equation where the unknown appears as the exponent, the small number that says how many times to multiply the base number. Think of repeated multiplication (like 2×2×2), so the exponent makes values 'grow' or 'shrink' very quickly, and that's why exponential equations are used for quick change.