---
title: Logaritmer – definition og regler
description: Lær logaritmer med definition, regneregler, grafer og anvendelser i eksponentielle ligninger og vækstmodeller.
url: https://astra-ai.co/da/videos/logaritmer/
locale: da
type: video-topic
keywords:
  - logaritmer
published: 2026-10-01T19:52:38.229Z
updated: 2026-10-01T19:52:38.229Z
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---

# Logaritmer

> Logaritmer er den omvendte operation til potenser. Lær definition, regneregler, grafer og anvendelser.

## Grundlæggende om logaritmer

Logaritmen $\log_a x$ svarer til den eksponent, der giver $x$ med grundtal $a$.

## Regneregler

Vi gennemgår produkt-, kvotient- og potensreglen samt skift af grundtal.

## Anvendelser

Logaritmer bruges til eksponentielle ligninger, vækst og skalaer.