OpenStax, Algebra and Trigonometry 2e §6.3 Logarithmic Functions · Example 11 · Algebra · Exponentials & logarithms

Rewriting and Solving a Real-World Exponential Model

The amount of energy released from one earthquake was 500 times greater than the amount of energy released from another. The equation $1 0^{x} = 500$ represents this situation, where $x$ is the difference in magnitudes on the Richter Scale. To the nearest thousandth, what was the difference in magnitudes?

~5 minWritten answer · check your work with Lemma

OpenStax, Algebra and Trigonometry 2e · §6.3 Logarithmic Functions · Example 11

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.