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Math & statistics

Exponential growth doubling time

Exponential growth doubling time: Doubling time = ln(2) / ln(1 + growth/100), with a strictly positive growth rate.

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How it works

Doubling time = ln(2) / ln(1 + growth/100), with a strictly positive growth rate.

Input definitions

Growth per period (%)
Enter the value in the labeled unit.

A worked example

Growth per period (%)
10
7.272541

Assumptions & limits

Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.

Sources & review

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Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.

Common questions

Does the rule of 72 give the exact answer?

No. This uses logarithms for discrete compound growth. The rule of 72 is an approximation and can differ at high rates.

How does Exponential growth doubling time work?

Doubling time = ln(2) / ln(1 + growth/100), with a strictly positive growth rate.

What should I check before using Exponential growth doubling time?

Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.

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