Logarithms - Practice

This math unit on logarithms begins by introducing the fundamental concepts of logarithms, helping students understand how to translate verbal expressions into logarithmic equations with the aim of identifying base-power relationships involving decimals. Progression in the unit includes converting logarithmic expressions to exponential forms and solving exponential equations with integer bases, reinforcing the inverse nature between the two forms. Concurrently, the unit develops skills for handling more complex scenarios involving decimals, fractions, and natural logarithms (base 'e'). As students advance through the unit, they are exposed to tasks that require converting various forms of exponential equations — including those with fractional and decimal values — into their logarithmic counterparts, further solidifying their comprehension of logarithmic operations. Further complexity is introduced by focusing on solving exponential equations where outcomes must also be expressed succinctly in decimals or for equations involving fractional values. This progression ensures that students can apply logarithmic principles across different mathematical contexts, culminating in a deepened understanding of natural logarithms and their applications in solving real-world problems.Skills you will learn include:

• Logarithms
• Natural base logarithms