Math & Trig

EXP Formula

EXP returns e (Euler's number, approximately 2.71828) raised to the power of the given number. It's the inverse of LN (natural logarithm). EXP is fundamental in growth and decay models — compound interest, population growth, radioactive decay, and any process that grows or shrinks at a rate proportional to its current value.

Syntax

EXP(number)
ParameterDescription
number Parameter of the EXP function.
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Examples

Euler's number

Formula
=EXP(1)
Returns ~2.71828. This is the value of e itself, the base of natural logarithms.

Continuous compounding

Formula
=1000*EXP(0.05*10)
Returns ~1,648.72. $1,000 invested at 5% continuously compounded for 10 years grows to $1,648.72 (using the formula P×e^(rt)).

Inverse of LN

Formula
=EXP(LN(50))
Returns 50. EXP and LN are inverse functions: EXP(LN(x)) = x for any positive x.

Common Errors

#VALUE!

Non-numeric input returns #VALUE!. The argument must be a number.

#NUM!

Very large arguments (e.g., EXP(710)) overflow the number format and return #NUM!.

Tips

Continuous compound interest

Future value = Principal × EXP(rate × time). This is the limit of compound interest as compounding frequency approaches infinity.

Decay and half-life

Radioactive decay: remaining = initial × EXP(-decay_constant × time). Set remaining = initial/2 and solve for time to get the half-life.

Normal distribution

The normal distribution bell curve uses EXP(-x²/2). Many statistical functions are built on EXP internally.

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