Logarithmic scale: Richter scale (earthquake)

What You'll Learn

Interpret Richter scale readings as exponents with base 10

Calculate earthquake intensity ratios using exponential division

Apply logarithms to solve for unknown Richter scale measurements

Convert between logarithmic scale readings and actual magnitudes

Use exponent rules to compare relative intensities of earthquakes

What You'll Practice

Comparing intensity ratios between two earthquakes with given Richter readings

Finding Richter scale readings when given intensity multipliers

Simplifying exponential expressions with subtraction of exponents

Solving logarithmic equations to determine earthquake magnitudes

Why This Matters

Understanding the Richter scale shows you how logarithms make extremely large numbers manageable in real-world science. This skill applies to measuring sound intensity (decibels), pH levels in chemistry, and any field where exponential scales compress vast ranges of data into readable measurements.

Before You Start — Make Sure You Can:

Exponents: Division rule (a^x / a^y) = a^(x-y)

This Unit Includes

2 Video lessons

Practice exercises

Skills

Logarithms

Richter Scale

Exponential Functions

Exponent Rules

Logarithmic Scale

Real-World Applications

Ratios

OH Curriculum Aligned