IB Math AI Worksheet 1.5 - Exponents and Logarithms

IB Math AI SL 1.5 – Exponents and Logarithms Worksheet

Topic: Number and Algebra
Level: IB Mathematics: Applications and Interpretation (SL)
File Type: Printable Worksheet / Student Practice Sheet

Overview

This worksheet introduces the fundamental connections between exponents and logarithms, providing structured practice for IB Math AI SL Topic 1.5.
Students learn to rewrite exponential and logarithmic forms, solve exponential equations, and apply logarithmic concepts to real-world models such as earthquake magnitude and growth patterns.

Designed to strengthen algebraic fluency, this resource blends conceptual understanding with practical computation. It serves as an ideal companion to the lesson slides and supports mastery through guided examples and independent problem solving.

Learning Objectives

By completing this worksheet, students will be able to:

• Convert between exponential and logarithmic forms.
• Evaluate and simplify exponential and logarithmic expressions.
• Solve exponential and logarithmic equations using algebraic methods.
• Apply logarithmic scales to model scientific and real-world data.
• Understand and interpret the relationship between exponents and logarithms in applied contexts.

What’s Included

• Introductory exercises converting between exponential and logarithmic notation.
• Step-by-step problems solving for unknown exponents or arguments.
• Equation-solving practice with positive, negative, and fractional exponents.
• Applied questions involving logarithmic formulas such as the earthquake-magnitude model.
• Full worked-solution key for classroom feedback or self-checking.
• Clean, printable layout suitable for individual or small-group practice.

Topics Covered

• Laws of exponents and logarithms.
• Converting between exponential and logarithmic forms.
• Solving exponential and logarithmic equations.
• Logarithmic models in science (earthquake magnitude).
• Understanding base-change and exponent properties.

Why You’ll Love It

Fully aligned with IB Math AI SL Topic 1: Number and Algebra, this worksheet bridges abstract logarithmic theory with accessible, real-life examples.
It helps students develop confidence in interpreting exponential relationships and prepares them for higher-level applications across statistics, growth modeling, and scientific analysis.

Tags

IB Math AI SL, IB Mathematics, Number and Algebra, Exponents and Logarithms, Logarithmic Functions, Exponential Equations, Log Rules, Scientific Notation, Earthquake Magnitude, Mathematical Models, Algebra Practice, IB Math Worksheet, Printable Math Worksheet, Student Practice Sheet, IB Topic 1, Full Marks Education