Lesson Notes By Weeks and Term v4 - JHS 2

Lesson Video

This page supports the lesson note with a companion video and a short classroom-ready summary.

For class groups and homework, share this lesson page so learners also get the summary, objectives, and full lesson context.

Performance objectives

• Define and identify exponential equations.
• Solve basic exponential equations by making the bases the same.
• Use logarithms to solve more complex exponential equations.
• See how these equations apply to real-life situations in Ghana.

Lesson summary

This lesson introduces learners to exponential equations, which are powerful tools for describing situations involving rapid growth or decay. In our daily lives in Ghana, we see examples of exponential growth everywhere: the way a population of a town like Kasoa grows, how money can grow in a savings account (like with a susu or bank), or even how news spreads quickly on social media. Understanding how to solve these equations helps us to make predictions and better understand the world around us. This lesson will equip learners with the fundamental skill of solving these equations by finding a common base.

Lesson notes

A. What is an Exponential Equation?

An exponential equation is an equation where the variable (the unknown letter, like `x` or `y`) is in the exponent (or power). Example of an exponential equation: `2^x = 8` (The variable `x` is the power). NOT an exponential equation: `x² = 9` (Here, the variable `x` is the base). NOT an exponential equation: `2x = 8` (This is a linear equation).

The key is to look for the variable in the "small number at the top".

B. The Core Principle: The "Same-Base" Rule