Stage 24 · Exponential & Logarithmic Functions

24.5.3 Solving for an Unknown Exponent with Logs

24.5 Growth Models: Where Exponentials and Logarithms Shine

Point 3 of 5

24.5.3 Solving for an Unknown Exponent with Logs

Core idea

To ask how many years until money doubles or when a population tops a hundred million, take the log of both sides to bring the unknown down from the exponent.

Module goal. Use exponentials and logarithms to capture real-world growth, decay, and phenomena spanning many orders of magnitude, feeling the value of modeling
eastmath.com · 24.5 Growth Models: Where Exponentials and Logarithms Shine · 24.5.3 Solving for an Unknown Exponent with Logs